Looking to relocate, and would like some feedback! :)?

I am an outdoor enthusiast looking to move from my current location of Louisville, KY. I want an enviornment that caters to outdoor activities such as: skiing, biking, jogging, campin, hunting, fishing, sailing, swimming etc. Also, I would like to live in a city that boasts cultural activities such as theater and music. I also have to think about work, which I can be flexible in the beginning. I plan to move on approx. five thousand dollars. Currently the states i am thinking of are: Connecticut, Machusetts, Vermont, Maine, and the only state i would consider outside of new england would be Northern California.