Thanks for the tip Terry.
I was working on establishing a second anchor last night. However, for some reason, I have always had a hard time concentrating on two anchors at once. I have found the middle finger to the corner mouth to work well in the past.
Last night I tried to use the thumb as a secondary point. For some reason I have always found my thumb to be very clumsy on my draw hand. The only place that it feels at all comfortable is riding on top of my index finger (tuck the pinky). I tried your example of the base thumb knuckle first, but just don't find it to be sensitive. But, I did find that if I draw as you and actually pull back the corner of my mouth a bit, I can draw and tuck the tip of my thumb behind my cheek bone (dragging it across until it slides in). It's really just about 1/4" past my normal anchor, and by the time I hit it, my arrow is begging to be released. Alignment also got better I believe. I'm still not 100% in the groove yet, but I think with some practice, it could really work.