Have landed on ice many times when flying "bush" in Alaska.
The strangest thing was x-wind landings:
Ya land in a crab and you look out the side window as ya slide sideways down the frozen river or lake.
Use motor in small burst's to keep ya on the "centerline".
Also every landing is nice and soft since there is no sideways traction on the wheel:
Therefore if ya hit hard with a spring steel tri-cycle kind of gear like a C-206 or C-207, the wheels deflect out sideways and dampen the landing considerably.
(Not that I ever landed hard
)
On takeoff ya have no nose wheel traction and if ya add full power too quickly, before the rudder takes effect, ya will go left really fast. (I went into a snowbank with a C-206 loaded with 6 fat skydivers and full power, slow speed and very aft C.G., as I cut the power just before I hit the snowbank, the nose back back to the right and we did not damage anything...The left mainwheel cut a nice ditch through the snowbank, pure luck.
The plowed strip was only half a wingspan wide, way too narrow for departing with little or no traction.
Don't know if I would have balls to go back and do it today, but it was fun.
As far as stopping, yes, the colder the better. Very low density altitudes, low ground speed, more drag from flaps, etc.
The lowest I remember was 5000 BELOW sea-level. A normally aspirated engine will then develop more horsepower than the engine or airplane is certified for, but with no "reduced power charts", you just go full blast anyway.
Try that in an empty C-185 and ya are in for a good ride...
Good Luck