Alaska, season opens for bucks in Southeast August 1. Hunt would be spot and stalk up in the alpine, weather can be really nice (or not so nice, it is Alaska afterall) and the bears are mostly down low in the creeks eating salmon. I think caribou is also open in August.
Another thought would be California blacktails up north. It will be hot most likely. I'm not sure if archery is over the counter or draw though. Hike into the wilderness areas and you will likely not see another hunter. One more idea is Oregon, general archery opens the 29th of August for both deer and elk and tags are mostly over the counter, plus you can hunt the whole state with the exception of a few of the draw only units. There are 2 traditional only areas, Canyon Creek (part of the Murders Creek unit) and the Trout Creek Trad only hunt (part of the Whitehorse unit). Canyon Creek is trad only for the first few days of the season and you can hunt deer and elk. The Trout Creeks are a mule deer hunt. You would have to drive in and it's very remote and pretty rugged. It's a lot of area and deer seem to be in pockets. The scenery is awesome though and there are some massive bucks. Do your homework if you consider going into the Trout Creeks. Whatever you decide, have fun and be safe!