you obviously dont have a 3 inch. Its all about snow conditions and thats where even the slower track speed big paddle shines, In set snow the 3 inch will be much slower trying to spin all the paddle. There is no one setup take all.
I have rode a 3" 155 pro compared it directly to my 163 and they are about equal, then watch a turbo pro (not the same as a stock turbo) climb about 3 time higher. also my son had a 163 doo with about the same results. don't get me wrong a 174 3" sled will be nice but a 163 turbo 4 stroke with a 2.5 or 3 " powderclaw will do the job. it may not be as fun to ride but it will climb