As with any roadtrip, your choices are as endless as what you find interesting.
If you like nature, you could head up to Arcadia National Park in Maine or spend some time in Vermont's Green Mountain National Forest. If you're into cities, you could easily find a weeks worth of things to do around Boston, if you are both over 18 and want to spend the week partying, you could check out the nightlife in Montreal. Or you can spend some time doing all of those things.
Camping is a great way to cut costs, so is buying food from grocery stores instead of restaurants.