I've never tried it but have been told that the 26X12X12's will change the overall gearing too much on a std garden tractor.
Since you will be plowing with it I'd stick with the 23X10.50X12's to keep the gearing down where it should be.
I do like the looks of the big ones, but would be afraid of the trade offs 
Good luck, you have a very nice tractor with nice options!
__________________
Jay
40 years of Using and playing with IH Cub Cadets!
Proud owner of the following:
Cub Farmall, Super A Farmall, Original, (2)70's, 72, 100, 102, 123, 105, 125, 127, 108, 128, 1450, (3)782's, Yellow 982, 1782, "Sam's" 2182, M Farmall and a #7 trailer
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