Hi,
I'm late to this party, but might have a couple of useful suggestions. 1st, for angle measurement, I'd just use a magnetic base inclinometer. I've used one similar to this:
yangerous Slope Inclinometer Protractor Angle Finder, Tilt Level Meter Clinometer Gauge with Magnetic Base, Measuring Shapes and Corners - - Amazon.com
for all sorts of stuff since I was a 'big butt dish' satellite installer back in the '80s. Just stick it on a level spot on the tractor where you can see it. Next to the shifter works on my
M4700.
FWIW, I've mowed a pond dam that spans my and my neighbors' properties for about 25 years. I started out totally paranoid about killing myself, on an old MF50 gas burner & 6' finish mower. I've been using the
M4700 (fairly tall tractor), water in the rear tires, & a 7' finish mower, for many years. In the beginning, I'd mow straight down the dam, go to the end, across, and down. Took forever, and the dam is only about 125' long, at most. So I started doing it with diagonal cuts, which limits the lean angle quite a bit, and makes it quick/easy to steer directly downhill if it feels unstable. Gradually worked up the courage (stupidity?) to mow shallower angles until I was mowing horizontal strips. Been doing that for a couple of decades. I checked the angle this morning; it's about 25 degrees on the inclinometer. Steep enough that you need to hold on to stay in your seat, and the soil moisture content needs to be 'Goldilocks'; too wet or too dry and the tractor will slide sideways. But it's never felt close to tipping. I usually cut it in hi 1st gear.
I don't know if any of the above (except the inclinometer) would apply to your situation and equipment.
Charlie