I don't know what the BW program suggested because unfortunately it never aired where I live.

My DS had jaundice and had to be nursed every two hours and it was always tough to wake him and keep him awake. My Lactation Consultant, hospital nurse and pediatrician all suggested stripping him down to his diaper to eat and also changing his diaper between switching from the first breast to the second breast. If these don't work, a cool wet washcloth lightly stroked on the forehead and feet. I know that may sound harsh, but sometimes that was the only way I could keep my LO up to eat.
Another suggestion to get better feeds that I received from another mom is from Dr. Sears. He suggests feeding baby with skin to skin contact. In other words, baby in a diaper and mom topless. I don't know how well that will work for you since you have another child to tend to but I have to tell you, my LO did nurse much better when we were skin to skin and also, it is just a very precious feeling to hold your wee one next to your skin like that.
Rae-Anne