You can shoot something with horns, though some times very small horns
, about any time you wish in idaho.
Making a long range harvest is another story. It really limits shot opportunities. Walk and stalk is more productive shot wise, but they are very long walks at times which multiplies the effort of retrieval. Which is OK but not easy.
Ambush/hide hunting is way more enjoyable. When, if ever, a shot opportunity arises the odds of success are greater.
Where opportunities are plentiful, hunting pressure is heavy.
Where the big ones are, the terrain is much more difficult thus the pressure is less.
I'd suggest getting together with a reliable local in the area you pick. Me thinks the local would be the priority then the area.
I bet if you do some sweet talkin' you could work something out with Shawn, or preferably his dad, whose hunts are way shorter.