Differences in groove shape, groove width, and groove depth between rifles of the same nominal caliber probably mean you're going to have to resort to shooting and taking good notes to see what gives best results. There are two patch thickness measurements that come into play: thickness with the calipers touching the material lightly, and a compressed thickness with your fingers applying substantial pressure to the caliper jaws. It appears to me that the compressed thickness tells you something about taking up space between the ball and the lands; the uncompressed tells you something about how the patching will fill the grooves. One example out of the old Lyman BP Manual says suppose you had a barrel with a .503 bore diameter land to land, and a .526 groove to groove diameter. A reasonable starting point would be a ball 0.005 under bore, in this case a .498RB, and a patch at least as thick as (groove diameter - ball diameter)/2, or (0.526 - .498)/2 = 0.014" And, it's better to go with a thicker patch than a thinner one.
Probably the best advice is to do several shooting sessions with an open mind, retrieve fired patches and look for signs of cutting or burn-through, and see what ball/patch combo you and your rifle are happy with in regards to accuracy and ease of loading. If you can lay hands on the old Dutch Schoultz package on working up a load, he describes a systematic approach to working up a load, including finding a good patch/ball/patch lube combination. Eric Bye's new book on Flintlocks also has a page or two devoted to patch thickness selection, as does the old first edition Lyman Black Powder Handbook.