Zimmer,
We used to go up to Big Bay every year and spend a couple of nights there. From Lake Gogebic you have two good options. As said by RP7x, it is only a one day trip so i will give you some sightseeing options. From Lake Gogebic stay on 8until it heads North and becomes 8/15 follow that trail until it returns to 8 traveling East. you will need to gas up in Michigamee and you can grab a small snack there too. Continue East until you hit 5 head North until you hit 310 and follow that into Big Bay. In Big Bay the Picture Bay motel is a little outside of town and very rustic. In town I would stay at the Big Bay motel very new and modern. Dinner at the top of the hill and the Big Bay Inn, excellent pizza. Breakfast behind the gas station at the Hungry Hollow, excellent omelettes and biscuits and gravy. Alternative route up would be the same route except stay on 15 and go into L'Anse, no need to go into Baraga. You can gas up in L'anse and get a small bite to eat there. we usually just stop at Subway. From L'anse follow 14 to 5 to 310 into Big Bay. On the way stop at Mount Arvon, the highest point in the UP and sign the guest book if you can. The second day work your way to Marquette it is a loop from 310 back down 5 east on 8 into Marquette. go through Marquette through harvey and Chocolay township. About 10 miles past Harvey you will run into Lakanen Land a must stop attraction. You can eat anywhere in Marquette. On the way back take 8 up to Big Bay. It is a big loop easily done in a day, just look at the map. Advice is every time you can get gas and are less than 3/4 full fill up at the gas station. There are many alternate routes, but that is one of our favoriters. Lakanaen Land is a neat place that has had an article in Snowgoer a few years ago. We found it by accident coming from Munsiing to Big bay. On the way from Big Bay to Lake Gogebic take the opposit route that you did not take on the way up.