Based off of my T3 CTR having a 44mm objective and a 1.125" height Unimount I'd think you should be fine with that height as well for your 56mm objective.
As strat81 said all of those are good brands. Don't forget Nightforce and TPS either. If you feel like spending $180 or so the American Rifle Company M10 rings are very nice as well.
Spuhr makes a great product but unless you need a specific feature that they offer (height, cant, mounting points, etc.) I would just buy a set of rings since you already have a 20MOA base. Their cost is prohibitive if you don't need the features. I wanted a Spuhr for my AIAT but when I could get a set of ARC M10 rings for less than half of the cost that would do everything that I needed them to do I bought the M10 rings and put the rest of that money towards an Atlas bipod. The M10 rings are by far the easiest to mount since there are only 2 screws per ring.
It is up to you whether or not to go steel. Generally I do try to keep the rings and base the same material but I don't always. As shown below my base is steel but the Unimount is 7075T6 aluminum. It really doesn't matter in the end but steel makes me happy when possible
These should all be in the 1.10"-1.20" range but double check for sure as I made this list quickly.
Badger: 306-63
Seekins: 1.26" Extra High
ARC M10: M10-1-00-34-28
Nightforce Rings: A224
TPS: 30591 Steel/30596 Aluminum
Here is my rifle and the clearance shown with my 44mm objective.