I agree that the archery aspect will provide a lot of opportunity and it has for me. I would like to add one experience or lesson I learned from a land owner and that was his distaste for archery as a cattle rancher, here is why. If you loose your arrow there is the possibility of it being stepped, laid on, or eaten by their cattle... secondly this arrow, if not found could additionally be sucked up in a bail of hay and again causing the possibility of ingestion. This particular rancher use to allow the occasional archery deer hunter on his property but has now limited to shotgun hunting only. So it can go both ways!
Like StovePipe said, be observant of what most benefits the landowner.
When starting the conversation don't go straight to turkeys. Introduce yourself and ask them how there day is going, maybe even week or weekend.
Personally I do not drive up driveways out of respect. I park alongside the road and will walk all the way.
Don't wear camo ... or at least don't wear only camo. I have changed my shirt and left my pants on.... I think wearing camo pants or a camo short is half normal once you get out of the pudget sound... but I like to be dressed casual whenever possible. This is a business transaction and should be treated as one. Be professional by not showing up in hunting gear.
I always offer to help them before or when asking for their help in increasing my chances to killing a turkey. I'm persistent about it too. Will ask again before I leave.
Don't forget to ask the obvious but not so obviously questions. Do they have a weapon preference? When are hunting hours on their property? What things do you need to watch out for? What's their dogs name? I would tell you that you should always take the long way around the fence, but where or how should I cross fencing on their property? (Never know...there could be a hot fence) Where should I park?
Always say thank you and share your harvest experience with them. Being genuinely appreciative about the experience goes along ways. Show them the bird if they are interested. And again ask if you can help again, especially if now that you have a turkey and time you would have spent hunting could be used helping them. If possible offer them fish, jerkey, smoked fish, perperonni, some of your bird?, etc as a parting gift.
Finally, do not clean your bird on their property unless they tell you to.
Same creek bottom different land owner. First landowner I ever got permission from. Parked on the road, walked down the driveway, made introductions, mentioned seeing turkeys on his property, hadn't asked to hunt yet and this is another strategy for feeling a landowner out is just simply asking them about seeing turkeys because they will follow up with a comment. His was "So you've seen my toms have you?" (He had 7 toms all long beards) I admitted I had and was hoping I could help him with something to possibly kill one. He pointed me to a chair in a bush where I could hunt from right near where they liked hanging out. I was young-naive and asked if my brother could come too! Which he was good with. I say young and naive because I feel now its best to have the second hunter with you. OR after some rapport building asking if you may bring a friend or what kind of harvest rates they are looking for. Is it they want them all gone or don't mind 1 or 2 missing. My brother and I hunted the next day. We lined up for a double and as fortune would have it my bird stepped behind a t-post and I had to change birds before my brother said "3!" and missed my shot. BUT what I did do is come back the next day when he was spreading fertilizer, thanked him again for my brothers bird, and asked him again if I could help. The birds hadn't been around that morning or all day. I thought they were gone. After some strong convincing he had me get in his tractor bucket, hoisted me up, and I picked a mess of apples. After which while he was peeling them to make cider and we were rambling on about life, out popped the toms again. He looked up at me and said, "Better go get your gun!". I killed a bird that day and have killed several more sense on his property. The neighbors know me now and have given me permission to cross fences to hunt their properties as well.
Last tip I will give is don't limit yourself to asking them at their home. While in a bar in Winthrop I got permission to hunt a property in Mead. While trying to find food at a bar late one night for my wife in Chatteroy I got permission to hunt a property near by. Also why pumping gas or picking up snacks I've struck up several other land acquisitions. If they ask you how the hunting has been they are generally open to the sport. Take the opportunity since the ice is already broken to ask if they "know of somewhere you can hunt". They might just invite you over or connect you with a friend with a "turkey problem"
PS - If you or your spouse does Christmas cards, they are cheap and are another way to let the landowner you are in it for more than the hunt.
PPS - It really really pays to make conversation with the landowner. They live their and therefore scout their property every day. Just talk turkeys with them and they will tell you when and where the turkeys will be throughout the day. They will also tell you if you should be wearing blue jeans and a white t-shirt when hunting or not. IF a blind or decoys messes with the birds. Suburban birds can and will notice camo, a decoy, and/or a blind and stay far away from it.