Went with a gal who was footing the bill
We stayed in West Yellowstone, plenty of trails in town to get the tourist in/out.
More rental sleds in W.Y. then canoes in Ely.
You should be on the sled at sunrise, be back near sunset.
I did not like the park, nice sites, there is one big loop, most will not take the loop, but just go from WY to Old Faithful.
I did the loop, I recall 120 miles, stopped at Old Faithful, then got in line with sleds and snow coaches for the last 35 miles, poor/no grooming, 4 ' moguls.
We ran into buffalo along this loop, they also took the sled trail. They were traveling in the opposite direction, they passed me so close, I could smell them, both ends.
Outside the park was great, ran the trails, which were fire roads. I have a photo with the stop sign top, at my feet.
It would snow 10" per night. Plenty of snow, food & gas must be planned, I filled twice a day, but did not go 180 miles, we had packed snacks. I don't recall a single hot lunch
I followed another sledder off trail, (my GF did not), we went into a steep wall valley, crossed a creek, up the opposite bank and back down to the trail, gone about 15 minute.
I was proud of myself, until I found out the "other sledder" was 14yrs.
Rental car from Bozeman airport, about 2 hour drive.
There are many ways to go, it wasn't cheap, we stayed at "Stage Coach Inn", it had a pool, a hot tub, with wait staff, and low/med/hi stakes poker.
A good meal, a little hot tubbin, 3 beers and I was down at 9pm
Dumped the GF, she didn't like sledding, but she could sure drink.