situation. Entry to the park is highly regulated, therefore, no crowds. You will have to ride in on a snowcoach or a snowmobile but it's sooooo worth it. The place is just heavenly with snow. The other thing is that the north road from Mammoth HS to Cooke City through Lamar Valley road is open to wheeled vehicles year round as the residents of Cooke City have no way t get to town in winter... the two passes (the infamous Beartooth Hwy and Chief Joseph/Sunlight aren't plowed in winter). that's where you are very likely to see wolves and bears. Wolves have been very visible in the Lamar since reintroduction 21 years ago.
Do yourself a favor, look at a map and study it, one that shows the mountains so you can get a feel for the area regarding location of towns/cities and distances. Lots of folks kind of freak when thy realize that it's hours to get from place to get to another. I have to go 100 miles - one way - to go to a grocery store that has normal prices or any name brand store, a hospital. We do have life flight now, that started last summer, and with the people who come here without a clue and get hurt... those guys are very busy, hear the helicopter at least twice a day heading into the park.
All roads are two lane in and out of the park until you get to the nearest city/Interstate... 60 miles minimum on the north side, longer elsewhere.
VRBO/Home away are good sites to find a house, townhouse, cabin or house to rent in the area for usually reasonable prices. https://www.vrbo.com/
As long as you're with in 30 or so miles, you're close.