I'm working on a halloween adventure for my players.
It's a salvage operation on the lonely, isolated, outermost planet of a backwater system. I'm building the world around a modified model of Pluto, where the world has just entered perihelion and the atmosphere has frozen solid.
I'm looking for a solid sheet of frozen methane/CO2/Nitrogen that's at least several meters thick. How big does my world have to be in order to get something like that to happen? I'd like to keep the surface gravity somewhere in the range of 1-1.5 g's if possible.
...help?

It's a salvage operation on the lonely, isolated, outermost planet of a backwater system. I'm building the world around a modified model of Pluto, where the world has just entered perihelion and the atmosphere has frozen solid.
I'm looking for a solid sheet of frozen methane/CO2/Nitrogen that's at least several meters thick. How big does my world have to be in order to get something like that to happen? I'd like to keep the surface gravity somewhere in the range of 1-1.5 g's if possible.
...help?