All you gotta do is go on Google Maps and punch in Lakeview Lodge down to Knight Point State Park (near the gut) and you'll get an idea of distance. You're looking at about 8 miles by car and about 9 by boat. Watch the weather like a hawk and make the call to drive or boat down.
See if you can find a launch on the Eastern side of north Hero which will give you easy access to City Bay, the Gut, and the islands out in the Inland Sea. The strong N and S winds are what you wanna look out for. Where you're staying isn't a bad spot (Alburgh Passage) should be some weed growth there by June.
https://www.weather.gov/btv/recreation