I think no matter which way you guys choose to go, the pegs will have to be drilled and frozen in and that will take the time to freeze. That's why I said about the day before. Unless there are serious ice screws out there. That and you will have to consider the bottom of the poles can't slide out. Same applies to any sized tent.
What might be better is one of those "tarp garages" that have a self standing frame. I have one that is just the roof part. I also have a large tarp that could be wrapped around the outside and close in two of the sides. Get a few more and you could close it all in. It takes about half an hour to put up by myself. Most of that is figuring out which freakin' pole goes into which
It could stay with less of a peg as it is self standing and the legs wouldn't slide out as easy. It would be noisy if it's windy with the tarps flapping and certainly not as nice to be inside as the tent, but it is lighter and easier to put up. You're also welcome to use that as well if you choose.
Not sure if you can't rent one for a day that comes with the proper sides. Might be worth calling a rental place? Just another option for you guys to consider.
Personally, I'd be partial to the 32 footer with the woodstove just a blazing. Feet up relaxing in a lounge chair with the hole beside me jigging every now and then trading hunting stories and shooting the b.s. with the guys. Now that would be my kind of ice fishing.
Either way, let me know if you would like to borrow either the tent or garage.
Dave