i dont know of any state land, havent really had time to look but there is a bunch of trails and such out of the Hyalite valley and Hyalite lake area.
to get to hyalite head south on 19th until it makes a right hand corner keep going a few miles and the turn off is on the left its only a county road sized signed so keep an eye out.
there wasnt any snow in town when i headed out for the summer two weeks ago but there was a ton still up in the mountains.