Probably a ne'er the twain shall meet thing.
But Dornoch 8 and 17, Portrush 15 and Pleasington 7 not bad - say solid but very short reds - for skiing, one or two days a year.
Chamonix, which is very good skiing, has an RTJ course in the valley. Could be as good a combo as it gets.
Zermatt, which is arguably the best skiing, hosts a pasture golf-type cross-country event in the summer, which could be fun. GCA's John Chilver-Stainer is involved.