Your 1250 was originally equipped with a 12 Kohler engine (hence the 12 in 1250, the "50" signifies a hydro) providing it is still Kohler powered, count the head blots, a 10, 12, or 14 HP will have 9 head bolts, a 16 HP will have 10.
Towing capacity; too many variables, tires, added weight, ground conditions, are you pulling a trailer or a sled at the tractor pulls... How much it can pull is one thing, how much it can stop is much more important.
Moving snow also depends on a number of things. First off use turf tires, fill them with liquid add two link tire chains and wheel weights, then you can push a LOT of snow. Narrow front tires or wide tri-ribs will help keep your front end from sliding over when you angle your blade. Hydro's are also the BEST for moving snow... no changing gears, just slam the lever back and forth, go as fast as you want or as slow as you need to.
Side note: In the winter, I have four hydros set up with blades, weights, chains, and loaded tires. My Brother, my Wife, my Daughter and myself have the MOST fun, sometimes we'll push snow all night long, and laugh our fannies off the whole time. Then we'll go get breakfast somewhere... It just doesn't get much better than that!