I did not realized the maneuver table wasn't for everything, and I tend to use it that way. So there is no contested rolls for stats. I understand that.
You still can, just don't use the RR column for Stat vs Stat.
Personally, I would use the Percentage column for Stat vs Stat. The result being how much of the maneuver accomplished or how close to winning each is (with a total result of 100+ equaling success).
So, in your example....
Character A (St bonus of 0) rolls a 51 and gets a result of 50 (this is if it is a Medium contest of strength, some things might be harder or easier).
Character B rolls a 44, and with 2 x 12 added to it, he has a total of 68, which gives a result of 60.
A = 50; B = 60 -- whoever gets to 100 first wins
As I stated before, the RR method was selected for skills because there could be a huge disparity between the skill bonuses. There isn't such a huge disparity between stat bonuses, so you shouldn't need to use the RR column for Stat vs. Stat.