I had a 42" or 48" snowblower on my little Cub Cadet 123, and it was awesome. I had a larger 64" snowblower on my Deere 855 MFWD (23 hp -> 19 @ PTO), and it was also great. Much fewer traction/weight problems when pushing a snowblower, versus a plow, assuming you have the horsepower to spin the augers.
The only reason I sold the 64" snowblower is that the 6 ft. plow on my 3033r is faster in all but the deepest of snows. We do get the occasional 24" - 36" storm, when the snowblower might be better, but we average only 1 or 2 of those storms per decade, the vast majority of our snows are 12" or less.
If you want to push a 5 foot plow with a SCUT, then weight is going to be your friend. Filled tires on all four corners +
ballast box + front suitcase weights, if they don't get in the way of the plow. You'll have plenty of power in low gear, but traction is going to be an issue.
Also, I've always run turf tires, and find they work very well for plowing snow on asphalt. It seems the guys running Ag tires have many more traction problems when plowing on asphalt. Of course, this may be reversed if tires are running on top of snow or on gravel.
As to log splitter, I'd just pick up the latest Huskee/Speeco/TSC 22-ton unit with a 7hp gasser engine, as they're probably cheaper than any 3-point splitter on the market, and leave it at the cabin. You're right that hauling them sucks, with those crappy little 45 mph tires, they really need to be placed on a trailer for hauling on the highway. Unless the market has changed in the last 10 years, I'll bet you can buy a new 22-ton splitter from any big-box store cheaper than any 3-point splitter, and it's going to be both faster and more convenient.