As one heads from Portsmouth to Exeter on Route 33, one passes by Stratham Hill park. About a mile past that, there is a small field with white fences. If one stops and enter the parking lot, you will see a sign that says Stratham trails. It place is easy to go past it without even seeing the parking lot.
Look closer, one sees a sign with the heading of Stratham trails. Look closer and one sees a group of trails. Some of those trails actually connect to the trails at Stratham Hill Park. I did not walk the trails myself, but the part of the trails that I saw looked well traveled. The park allowed dogs as long as they are leased. The trails looked well enough for cross-country skiing. However not being a skier myself, I am not certain.
There is a map at the start of the trails. I have not included it because the map needs to be copied by permission only. However the map is located at https://www.mirtoart.com/index/G0000QgdRtpiWHLY/I0000IeJklfvNAwU. The trails seem to be a good afternoon journey.
Adventures in Hampton NH 