Pinwheel
maybe this doesnt work for your gang but there are usually doe tags available for NR's somewhere after residents get a chance for one doe tag. Don't know about NH and what they make available to NR's but I think it is fair that resident hunters of any state get first shot at one doe tag before NR's. You might have to go to another county to get a doe tag after residents get theirs but there are usually some available in most parts of the state. I understand we all have our favorite spots but it is an option.
I hunt Illinois and will pay $295 for my archery license this year but Ill aint Pa!
Since they want does killed in October maybe the archery license could have two tags like Ill One for a doe and one good for either sex. As far as the price, you NR's pay enough right now but it's also right in line with the adjoining states around here.