I'm always interested in people who find hillsides scary on their tractor. Because there's such a massive variation in what people find scary - there are people who are scared on hillsides that other people would do in a flash.
When you mow with the LX, what are you doing to manage stability? Typical things to consider include:
1. Take the loader off. Biggest single change
2. Are you using a MMM or a rear mower? I think MMM tend to feel more stable
3. Have you looked into spacers on the rear wheels, and/or ballast in the rear tires. Both help quite a bit
4. Is it really unstable, or is it just the "pucker factor". The way I got myself past that was I would drive my machine onto the hill, then stop, get off, and then rock it - try to tip it over. Turned out it was nowhere near tipping over, I couldn't even remotely budge it - it was just me being nervous.
5. Are you mowing side to side or up and down? You say no turnaround area, so I'm guessing you're trying to turn around on the slope?
6. One thing for me with a MMM is it gives a whole lot more stability - in order for the tractor to tip over, it has to rotate around the mower itself. The few times I've tipped my B2601 a bit, the mower touches down and it stops.