Congratulations on a successful surgery! The drool is common. I had that, still do from last weeks surgery. It's the anesthesia also, being intubated, other medications, nerve manipulation. It should resolve, but let your medical team know everything, they usually asked me to smile to see what nerves were effected, and writing the day of surgery is a good sign of your recovery. Just be careful of aspirating, fluids going to the lungs, which staff will tell you or have you sit up when eating, drinking, swallowing. They also had me use this gauge, like a little genie toy, to blow in, forget the name, to increase your lung capacity, get the fluids out of the lungs to prevent pneumonia, plus walking when advised and able to do so.
I'm in NYC also, and may have even bern treated the same hospitals. I've been to a few.
Btw, I haven't tried alternative medicine, seen plenty of quackery through the years, and the only proven way for a cure is through conventional treatment, but with the doctors approval, a healthy, well balanced diet can't hurt, mediating, reading, exercise, support groups, avoiding certain toxins and such.
As Tony said, don't worry about anything now. Get trough this, and take one day at a time.