Hey Bruce, no problem. I appreciate the interest. While the belt is the correct one and new, I did run into the differences of belts for the 345 under 70000 vs 70001 and up. The early models <70000 like mine, use a conventional v belt design. Later they used a double v type that used flat idlers for both sides of the belt.
One reason I lean toward trans hyd problems, is when I have to push the pedal down all the way to get motion due to a grade, the trans really whines that hyd whine. If I had belt slippage, I don't think it would really whine like that. I had one summer on it when I changed the in line filter after starting on the vac in the fall. Everything underneath still looked ok. Like you, I'm no guru. I'm just looking at options. Thanks again for taking the time.