I lived in New Hampshire for two years and fished quite a bit. That being said, I have no interest in fishing there again. I'd take NJ over NH any day, actually. Wild trout are pretty scarce even in the northern half of the state. There are some wild brook trout streams in the mountains, but almost every river in the state is put and take. Here's a freebie: Carroll Stream. It's a publicly listed WTS so this isn't really spot burning.
This time of year, you still might be able to find some stockers in the rivers. If that doesn't interest you, you can head for the mountains or fish warm water. The Pemi in Bristol is great for smallmouth. You also have many lakes and ponds that are decent for bass and panfish. Sorry if this wasn't the info you were looking for, but IMHO the fishing in New Hampshire is pretty lame.