I think enough people have pointed out that April isn't going to give you the ideal scenic excursion that you're looking for, and can be quite unpredictable with weather. So that being said, here's what I'd recommend:

Take Vermonter Amtrak to the Waterbury station. Explore Waterbury (amazing restaurants - Hen of the Wood, Prohibition Pig, plus Ben & Jerry's factory and Lake Champlain Chocolates factory) and then bike the 10 miles to Stowe. Again, more amazing foodie options in Stowe (Harrison's, Doc Ponds, Piecemeal Pies, etc.) plus Stowe has some of the best bike paths in Vermont, and cute Vermonty places like Cold Hollow Cider Mill, the Von Trapp Lodge, etc. If you want great views, perhaps hike up Mount Mansfield or take the Stowe gondola.

Or, take the Ethan Allen Express route to the Middlebury Amtrak station. Middlebury is a super cute college town with lots of food options and boutique shopping. From there I would bike the 19 miles to Brandon, which is a quintessential Vermont town that basically looks like Stars Hollow from Gilmore Girls. There isn't a lot of entertainment, but there are a few great eateries (Cafe Provence), art galleries, gift shops, and really beautiful scenery. Lots of trails and parks, and will be a bit more affordable than Stowe.

I mean this nicely, but it does not sound like you are financially ready to purchase a home. You should work on increasing your savings, and either making more money or budgeting in a way that you aren't left with "barely anything" at the end of the month before you think about buying. Highly recommend checking out r/personalfinance

You own the entire home, but you lease the land it is on. For all intents and purposes, you own it all and can do whatever you want with it within reason. They set it up this way so that you are legally required to sell it back to them if you ever wish to sell. If you do sell, you only receive 25% of the net market increase, and 75% goes back into the program to help keep homeownership affordable.