If you’re serious about applying to the 7 year med programs you need to start putting your ducks in a row pretty soon. There are multiple threads on this on CC . You can get a sense of the level of competition from them.
But if you’re not sure about med school, then an ED app to your first choice selective U would be advisable,since you dont have financial constraints. If you 're not sure about that either, then add URochester as suggested earlier. This will expand your match schools.