Groton State Forest Campgrounds: Located in Groton, about 25 minutes from Peacham, this VT State Park offers tent camping, remote lean-tos, and wonderful hiking trails, too. New Discovery State Park Campground is where you'll want to go.
Sugar Ridge RV Park and Campground: Located in Danville, about 10-15 minutes from Peacham, Sugar Ridge has 150 sites of any combo you may need, and even has great family-focused activities.
Moose River Campground: Located in Saint Johnsbury, about 25 minutes from Peacham, Mooe River offers mostly RV sites, and a few tent camping sites along the river. Very convenent to I-93 and attractions in Satin Johnsbury, including Dog Mountain.
Search "Harvey's Lake" or "Joe's Pond" for a lake house with a view! Either is about 10-15 minutes from Peacham.
Search "Danville" or "Barnet" for options within a 10-15 mile radius; some located on water, some ore quiet and isolated.
Other searches you might try, and which are located outside of a 20 minute radius are:
"Saint Johnsbury" or "Burke"
Emergo Farms Bed and Breakfast: A delightfully authentic farm stay located about 10 minutes from Peacham. Fabulous brakfasts, too. Tell Lori we sent you!
Estabrook House Bed and Breakfast Inn: Located 20 minutes away from Peacham in St. Johnsbury, the Estabrook House has four rooms to choose from and can offer additions of dinner, a picnic lunch, or a teatime.
Fruitlands Bed and Breakfast and Berry Farm: All the alcoholic drinks plus cheeses and nibbles and lotions and candles.There is always a great selection of beer on tap for rare growler fills!
Danville Restaurant and Inn: Home of an incredible breakfast deal, and conveniently located about 10 minutes from Peacham. "It's like going to stay at Grandma's house," according to the website.