Free: Contests & Raffles.
For me, deer and elk hunting are all about finding the target. Antelope hunting is all about finding something where you can legally shoot it, so that's consistent with most people doing public land hunting, especially lower point hunts. Unless you are in a truly horrible unit, there will be plenty of targets all around.So, you have a few options to get a tag. Option 1 is throw some money at it, either the special application in WY, a guide or a landowner fee. Some states have landowner tags too. This is the easiest way of course.Option 2 is to consider doe hunts, easier to draw and many times the opportunity to harvest one as there are a bunch of them around and they are all pretty much the same and you can't really be picky.Option 3 would be getting REALLY good at reading maps and REALLY good about knowing exactly where you are at. If you hunt tiny parcels or right on the border your odds sometimes can go up dramatically, but you have to be 100% sure of what you are doing. Those places will be easier to draw. There are also tags with heavy restrictions like only hunting within 1/2 mile of irrigated land. Those are a real crapshoot in my mind, I've showed up to brown dirt that was green crops in Google Earth which is a bummer to say the least. Option 4, either tag along or find a great friend with tons of points you can party apply with. I actually like hunting other people's tags even better than when I have the tag, all the fun and none of the stress.Option 5, win the lottery, apply for every opportunity in every state you can and focus on those that have at least some type of random tag available (apply in a state that has a random allocation and then in units with tons of tags instead of the unit with only 2 tags as it likely won't have any random allocation).Option 6 - check tribal opportunities (kind of like option 1). I haven't done this but I think there are some tribes that run hunts you don't need a state tag for.There are probably other ideas, but either pull out your wallet, be prepared to hunt a place that might not have any goats, or be patient and wait 3-5 years or more.