I am currently working on one of the planets in my system, called Opea. Opea is a roughly earthlike planet in the furthest edges of its star's habitable zone (receiving half the sunlight as Earth), with a thin atmosphere (0.16 bar). I am trying to build it so that it is warm enough for the equatorial band to be liquid, with the rest being frozen ice caps. However, I am trying to make it so that the land-based glaciers are very thin or preferably non-existent. This is for a variety of reasons, most notably to make terraforming easier (as there won't be any major sea level changes).
I have considered that since it will be below freezing everywhere on the planet (with the equatorial band only being liquid because of its ocean's high salinity), but I am unsure of the science of it. Since evidence suggests there can be snow at any temperature, that may mean that over billions of years there will be buildup, leading me to believe there would have to be some way for it to be warm enough for any snow buildup to melt, but not warm enough to heat up the whole planet. Is there even a way to do this?