With a 20 pound wheel, you will need up to 200 pounds of force according to the way we calculate pressing force for Alpine style cheeses (we keep a similar form factor across the range -Alpkäse, Emmentaler, Gruyere, etc. that all come from the same tradition). We figure 8 to 10 pounds of force for every pound of cheese. Since you are using the traditional forms, use this traditional means of calculating press weight needed. It's designed to go with those forms, and works ideally.
You will have to do some experimenting to figure out how much you have to crank the form to get the desired weight. Just as a hint, it is going to be a lot more than you think.
Often I see these screw presses used only for the first rotations in the press (the 5, 10, 20, and 45 minute pressings, that are also covered up to preserve heat) then the long presses, they are put under a heavy beam. This is because of the issue addressed earlier, you lose height during the pressing.
You also only want to adjust your Trugel (the wooden block to tighten the form) outside of the press, not under pressure. That's a good way to break things. And also for the record, professionally made forms will have a Trugel that is made to be adjusted with a hammer. We would pull it tight by hand, then give it a few taps with a hammer to secure everything.