I have some recommendations for you. From trail 2, get on 3 north a few miles east of Watersmeet. Take 150, which is a short but awesome run, to 107 north, also a great trail. Trail 107 will take you to the intersection of trail 8, an old rail road grade, where there are a couple of options to stop. Take trail 8 east to Sidnaw where you can get gas and stop there also. From there, take trail 109 north, which is currently my favorite trail up there, to trail 12 towards Mass City. Stop at the Rousseau Bar, neat old place. Not sure how many miles you want to put on a day, but while you are up there, you should try to take the 13 loop from Greenland to Twin Lakes. It is 36 miles, but is an awesome trail when groomed.
Another day I would take trail 2 west to trail 13 N and stop at the Root Cellar on Lake Gogebic or any number of places on and around that lake. Great area! Continue on 13 north, or you can take the lake, up to Bergland. Take trail 1 N to Silver City and then all the way to Lake of the Clouds. Well worth the time to see if you haven't already. When you come back down from Lake of the Clouds, take trail 11 south, another great trail. It is a 2 lane asphalt road in the summer that is shut down in the winter and groomed wide. Take trail 102 south to Bergland and hit the Hoop 'N Holler. Say hi to George, the owner.
From there you can chose your way back home. May want to take the lake to save some time or take trail 1 south to trail 100 and back over to 13 and down to trail 2 and home.
I think you will be very happy with both of these routes and it covers the best trails up there. If you need a great place for dinner, try J.W.'s BBQ and Brew in Bergland, awesome food! If I can help any further, let me know. I've been going up to that area since 1993 so I know the area well.