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and weigh well under 5 lbs. More like 3.
I use the downmat 7 without pump. Save the weight skip the pump and get the snozzle bag (pump) which doubles as pack liner or storage bag. Sounds weird but pumps mat up in a minute.
30 degree synthetic that weighs just over 3lbs for $99. It's certainly not going to be the lightest or most compact bag on the market but it will provide you warmth, comfort, and a decent starter sleeping bag. http://www.rei.com/product/828305/marmot-trestles-30-sleeping-bag#tab-specsLike others said, get a good insulated mat for underneath you and it will help tremendously for additional warmth. Here is a warm and durable 3 season down filled mat that packs small for what it provides you in puncture protection (75D fabric) and insulation.http://www.rei.com/product/847123/exped-downmat-lite-5-air-pad-with-minipumpFor just a hair over $200 you could have a really decent sleeping set up to handle most any late spring to early fall conditions you will experience in Washington.
Good deals on sleeping bags like you're looking for aren't too hard to find used like at backpackinglight.com, might be something to look into. I bought my girlfriend a decent 3lb 15degree bag on there for half off that had barely been used. If she decides she likes the backcountry stuff as much as I do I'll upgrade her to a down quilt like I have or get a two person for when I take her. REI garage sales are a great place to get great deals on sleeping bags. I think if you can keep it around 3lbs you're doing fine, I lugged around a 5lb 10oz bag for several years before I caught the ultralight bug.