I will answer this assuming no raffles, no auctions, no LO tags.
It's pretty easily $5K+ an NR for all species in ~10 states. AK, AZ, UT, NV, NM, CO, MT, WY, ID,+ NE moose states). And that's pretty much assuming no tags drawn.
MT alone is about $700/year for an NR to just apply for all species (and refund the gen when you don't draw limited elk).
And it is getting alot worse in WY and other states. Guys starting today are nuts. Buying a LO tag every 1-2 years would be a far better deal that getting in on the schemes.
Limit your species and states and you can save alot of money. But most guys are dropping around $5K annually to apply if they are broadly applying and if they aren't tied to a budget.