Wow, JW, glad your husband is safe and sound. Very scary indeed!
Sissy, I have a ZTR Cub Cadet Tank, industrial model. It's VERY heavy. I don't have any slopes here, but did where I used to live. Never have tipped it, but never got it on a slope if it was at all wet either. Yes, above is correct about the pivot wheels. If you have a long steep slope, I agree, go up and down, not sideways, when it's wet even from dew. Only go sideways when very dry. All mowers should be set up with weight that will keep that from happening. I say ask the dealer, let him know the degree of slope of your yard where you are concerned, and get something in writing that says the mower you are about to buy will NOT tip on that hill. If he will put it in writing, then he has research backing him up. I had a Dixon ZTR before the Cub, and it was much lighter. If I got it stuck in the ditch because of water/wet, I could physically pull it out onto the road. Not this Cub I have. Dixon was more deck size that you are looking at, I think it was a 42". My cub is a 56". I do get done mowing in record time, though. I have the bars, and I know you don't like that either.
As a side note, I also have an IH 574 utility tractor that I pull a Bush Hog mower with. I mow the ditch on the other side of the road between field and ditch, but only when it's August dry, no water in the ditch. I have no idea how it keeps from tipping, it's that steep, but never has. Would not be dangerous, I could simply step off on the other side, use truck to pull it out, but hope I never have to do that. I'm very careful, would not do it if it would tip. But, just saying the heavier the mower is, the more likely it will not tip, as they weight them low for just that reason.... maybe ... :blueflower: