If it were simply orbital forcing... it would get worse and worse.
Orbital forcing goes until we have a interglacial period (all glaciers are melted including Antarctica)... then tips over the top and goes back toward a glacial period.
Interglacial periods can still have snow... but no where on the Earth does the snow cover exist all year long.
I don't know the math to determine when an interglacial period would start, or when it would peak before heading back to a glacial period... but each year should push us toward a warmer and warmer global mean temperature, with tempering affecting local averages.
But adaptation is what we should expect. Ski resorts will make snow overnight when temperatures allow such. Pond Hockey might become street hockey. The Dog Sled Championships may have to use their wheeled training rigs. Snowshoes... well mine are hanging on the wall as decor... but someone with poles might use them for hiking... and my rubber snow boots work well to keep the puddles from getting my socks wet.
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