If you're looking to keep the second home for your use (along with the second place) ... I would run it as a vacation rental. Check vrbo and homeaway for competition in your area. You'll be able to assess rental rates and occupancy (via the online calendar).
FWIW our lake house costs us nothing even thou I block out several weeks for family traditions.
Thanks for the suggestion. We are big VRBO users, but our HOA requires a 12-month lease.