Get yourself the Maine Atlas and Gazetteer in addition to having a large list of hikes it contains topo maps of the entire state. Popham Beach is awesome. Less than an hour is Bradbury Mt and Wolfneck State Park. Bradbury is a couple of miles up the road from my place in Cumberland, not much of a mountain, takes about 10/15 min to hike it but has a pretty good view of the coastline. Wolfneck is on the coast in Freeport, like Popham, no elevation but really nice hiking. We always buy a family state park pass.
While there are not many lakes in Texas, Maine has a ton of lakes. My kids don't like the ocean so that's a good thing.

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