Both res and nonres antelope permits are due the first of June, I think they are $203 with a conservation license for nonres. The applications and regs usually come out in april some time, and are on the net as well. Nonres draw odds are pretty good in some areas. The hardest part is finding a place to go. There's a lot of public land but there are a lot of hunters too, your best bet would be to find some private land.
Good luck, let me know if you need any imput on were to put in and I'll tell you some lies.
Ivan