Please be careful. I have the exact opposite. I have a ridgetop. A bowl is easier IMHO. If you begin to feel a bit uneasy sidesloping, you can turn the nose of the tractor downhill and ride it out.
I feel safer without the loader. The hinge points are high and transmit bucket loads through the hinge. Sideslope until you feel uncomfortable. At that point switch to up and down. Back up the slope and drive down. It’s far less efficient, but is the safest. You could leave your loader on if backing up and driving down. Worse case scenario, the loader bucket becomes and anchor that you can plant in front of yourself if you start sliding downhill.
Wait until after noon to mow the steepest areas. You’ll want the grass as dry as possible. You’ll notice R4s sliding before the tractor will roll. My next tractor will have R1s as I’ve had too many instances of trying to climb to the top of my ridge with the diff locked and R4s struggling to find traction. Or the mower dragging the rear end down the hill as I sidesloped. This was in a horse pasture. Not rough, uneven ground.