Shouldn't be an issue to get a doe in that unit. I went along on a buck hunt a couple of years ago (didn't draw, I just carried binoculars and a spotting scope) and we saw plenty of deer. It was a little earlier in the year, but I don't think that those deer are going anywhere.
Good luck! Keep an eye out for some really big bucks - even if you can't hunt them they are still really cool to see.