Thinking about New Hampshire: Potential migrants want opinions [View All]

The Love of my Life and I have decided that we really can't take too many more Colorado summers - hot, dry and fiery. So we have shortlisted several states as potential new homes while I get another master's in either Spanish or Slovak languages and he gets his DPhil in robotics. New Hampshire is on the short list.

So the questions we have are:
1. Would out-of-staters be welcome? (In Colorado, they're not really welcome.)
2. Would we be able to find work? (He, senior level programmer/architect; me medieval historian or psychologist.)
3. Are the state universities good for post-grad work?
4. Is housing available for less than the $350,000 average house price in this area?
5. What would you, as a resident of your state, warn us to be careful about?

Thanks!