Go north on Buena Vista to the roundabout just after Palmer Country Club to Rainey Trail, which is the third exit. Go west about a half mile and on the left is a state park, Lake Miona. They have a small beach, a fishing pier and a boat ramp. If you see the housing development Lakeside Landing, you've gone too far.
Lake Miona Park | Sumter County, FL - Official Website
Much closer to your village but just outside the TV is Lake Okahumpka State Park. Go south on Buena Vista to Rt 44, turn east a 1/4 mile and it will be on your right. A friend of mine Kayaks there all the time. If you pass Continental Country Club you've gone too far.
Lake Okahumpka Park | Sumter County, FL - Official Website