Depends...
Sorry, had to say it. There are actually some minor differences from unit to unit (in a "every Bronco is different" kind of way) but there are some sizes that seem to fit 99% like yours.
And that, I think would be the 31x10.50 15 tire. Of course, 235/75-15 is not much different than original, so will fit, but you can fiddle around with sizes adjacent to that if you're not against going to a 16 or even 17 inch wheel.
And speaking of the wheel... Are you planning to run stock wheels, or purchase something aftermarket? If you're going with your own choice, keep it to 7 or 8 inches wide at the most, and with at least 4" backspacing.
If you don't get the right backspace measurement, the rear tires will rub the body no matter what you do.
You might even rub the front with 31's now and then, but it's not a big deal and can be circumvented a few ways. Depends on where it rubs.
There are some guys running 33x10.50's on stock height Broncos, but some of them have moved the rear axle back an inch or so to help clear the pesky leading edge of the rear wheel opening.
Lots of good info on the site here as you've no doubt seen. Plenty of people have now tried lots of different sizes, and there are plenty of discussions just like this. Check them out too when you get the chance.
Paul