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.