So the HART is not on the pin-CG line? By an inch? Really, the CG is not on the pin-HART line, probably by a half inch or less, depending on the pin-out. Given that most of the NM drilling instructions tell you to put the HART close to or left of the thumb, you probably won't have the CG swung out too far.
Unless you've got a crapload of top weight, there shouldn't be a problem getting the ball to do what you want. Most asymmetric balls with a marked MB (or whatever the HART really is) don't have the pin, CG, and MB all in line.
SH