You shouldn't have to grip your bow in an unnatural or uncomfortable way. And shooting with a bent elbow is not consistently repeatable and could lead to a creepy release.
Try to determine what happened on shots when the string burns you: sq. enough to target, not too much across your chest; sloppy release; torquing bowhandle/string; etc..
Ruling out flaws in shooting form, sting path should be considered. Arrow spine, wt., and bow brace ht. all have an effect on the strings lateral movement.
Increasing brace ht. increases limb preload which will keep the string closer to the bows centerline at the end of it's travel (where the string gets you). It also moves the string closer to your elbow than wrist where there's more room. However, brace ht. should not be adjusted outside of the bows sweet spot to compensate for other problems.
I'm sure you'll work this out as pain is a great motivator. Please let us all know what solved this problem for you.