Not sure why you want a 3 man flip, but I use to provide shelter for friends that didn't have shelter so we could stay out longer. Smokers ruined my shelter so I sold it to a smoker who didn't care about the nasty smell it had.
I bought a single flip over after they ruined my first shelter and they ended up doing the same.
Later I bought large hubs for family and either non smokers or smokers who would smoke out of my tent.
Most of the time I take my one man flip as it is the easiest to use in every way. Most days it just hauls my gear until the sun sets, then I use the tent, also on windy days and to stop line freeze.
I'd recommend a one man flip and a pop up knowing what I know now. Your friend's will get their own shelter and can go when they want and same for you.
I have two one man flips, both inulated and two four man pop up hubs, one inulated and one two man suitcase shanty.
We don't get ice you can drive trucks and trailers onto. So we always hand pull. Some private lakes we fish have no access to even if you could drive on them.