Made me get Google out to figure where you were going to be...
Nearest are the Grand Traverse Trails and the North Missaukee Route/Trails.
North Missaukee, once you get a bit east of US-131, has some nice trail that's not too sandy. Getting to them involves much sand and I'm not sure on your Mini being able to stage out there and back on fuel.
The Route on the south end of Grand Traverse trails would be ideal, just not much of it. I'd start with that and then look to move up to some of the Grand Traverse #1 or #2 trails.