So 4 deer and lodging, food and a truck to barrow? 2000 bucks
I was assuming the $2k didn't include the 4 tags.

I would venture to say in the end it would be closer to $4k by the time a guy figures in Air Fair, baggage costs, Tags, License, and such. But it is easier to spread out over time than just paying a guide $5k or more for other hunts.
Buy license, tags one month, Air Fair another, find out what baggage will cost to get your meat home save that one month, etc. $2k up front for four Deer is a little easier to palate compared to a Moose hunt in AK.

I have done this several times with my brother (he lives in SE AK) and with having family there it still cost me about $1500 or more and that is pitching in for food and fuel on top of Air Fair, and Tags etc.