As nath said, depends on how much you are prepared to spend. We all chase the bottom dollar but this always comes with the fact/cost you are going to have to do a lot of work on any old machine to get it working properly.
https://www.deutscher.com.au/l/mowe...-he660-slasher-honda-gxv390-recoil-starthttps://www.deutscher.com.au/l/mowers-walk/display/1-deutscher-xf560-mower-briggs-and-stratton-190ccWith these you could fit a sulky on them so you don't have to walk but then there is the issue of how steep your ground is and would this cause oil starvation in the motor if the motor was sloped the wrong way for a prolonged period. This is the advantage of the 2 stroke Victas. As you have found out it is a very difficult balancing act, there is no machine made that will cover all the things you require
I have often thought about building a 2 stroke machine on one of the older big self propelled chassis and using a 2 stroke to power the drive and another up front for the cutting. Would be a bit on the long side but would overcome this gutting grass on sloping ground problem
On something like this you could stand a full crank vertically to run the drive and another full crank to belt drive the cutter. Quite doable just a bit of work but could be done. This solves all the problems and because the drive motor is only doing the driving it would have no problems pulling a sulky
https://www.gumtree.com.au/s-ad/kerang/lawn-mowers/self-propelled-mower/1257778232