If you're looking to bowhunt antelope, I'd strongly suggest putting in for tags in NM, bow tags I think are close to 30% draw or higher, and way higher if you put in with an outfitter, not sure if you're looking for an outfitted hunt or not.
East of CO and WY is not going to happen, wouldn't waist my time with states east of those, so if driving, sure something in the NM, WY, CO, MT, not sure where you're from, didn't say, or I didn't read, if flying, then I say go wherever, may consider NV bow tag then...
I'm strongly considering putting in for a bow tag in NM next year, just got back from a WY antelope hunt, no luck, I'll post about it soon. Or just buying a landowner tag in NM... after this most recent "quality area of WY" a lil disappointed, have to say I saw bigger goats in MT, and certainly NM has bigger goats.