Idaho has both whitetails and mulies. In general - with lots of overlap - WT's are in the north half of the state and mulies in the south.
A NR license is $185, a deer tag is $350. Be sure to buy some wolf tags while you're at it. NR tags are only $30 and you can buy an unlimited number of them.
The issue isn't the cost, it's the availability of NR tags. We have both OTC and draw hunts. Most draw hunts have low odds of drawing and NR hunters are limited to 10% of the tags in any particular hunt.
The OTC tags are a whole different ball game. All NR OTC tags, deer and elk, are put on sale online on Dec 1 and it's a madhouse to get one. This year, they put about 30k tags on sale online all at the same time, 1st come 1st served. There were something like 64k hunters online all at the same time to get them. It was an unprecedented number of hunters and it crashed the system. They'll have to do something different this year but we won't know what until fall.
