ID. Fish & Game should have public land info that permits hunting.
As far as private property,find out who owns it and ask. If there's no house on the property you want to hunt you could get info at the county court house (go to the tax assessor office) see who owns it and call them.
Camping alone,new to hunting.......Hmmmmmmm. Well what are you hunting...,elk, deer, lion, bear? Do you how to back out a animal if you got to? Do you have idea on how to field dress your kill? Do you the right camping gear for the situation?
If you do forego the trip solo make sure you tell a few people where you're going,how long you'll be gone for and if you're not back on your tentative date to call the authorities!
If you're not a resident of ID. see if the state has any offerings for students,,some do and you will not have to pay a full non-resident fee.
Good Luck....Enjoy your hunt and be smart and you'll stay safe!!