Hunters/fishermen spend $9.5 million just on licenses. That's $25k a day 365 days a year. 100% to the state. Those huts only operate for 3-4 months and the state only sees a small percentage of that $50k.
I was wondering if the AMC pays the full 9% R&M tax, or if they get some tax benefit. Regardless, it seems as though that money goes into the general fund. As for hunting and fishing licenses that money does go into the F&G budget. I found an interesting revenue/expense breakdown from 2016 that supports that $9m figure for license fees. If 2-3% of the budget comes form general funds, then it looks like at that number is $.5m - $1m annually. My estimate from before for MA day hikers falls between that - and I think it's safe to assume that MA day hikers are less than half of all users benefiting from NH F&G as for this purpose, we should include everyone (including NH residents) generating income to the general fund for due to hiking, fishing, hunting, etc. that they otherwise wouldn't have (NH residents obviously contribute when they eat out locally vs. when they travel to recreate). To people who argue that people needing search and rescue aren't contributing, I think I would have to disagree.
What this boils downs to is that the NH F&G department likely contributes to far more money going into the general fund than it gets back in its budget. Of course, this is based on estimates and assumptions, but the analysis can be done. Hopefully it has been, but I have doubts. I suspect that NH F&G could make a strong argument for NH to fund S&R from the funds the user pool creates. Although the NH legislature is pushing for anyone who does anything that costs the state money to be forced to reimburse the state? Car goes of the road in winter? The driver has to pay for all the emergency responders' time. A student fails a class? Their parents are charged a prorated costs of the teachers salary, along percentages of with overhead and transportation.
These are meant to be absurd examples, which the larger point being: if we live in a prosperous society, we accept that sometimes things will happen and people need help. The question is really: do you want to live in a society with emergency services, education, social services, etc? The idea of 'personal responsibility' doesn't negate 'social responsibility'.