What is the recommended regimen for peptic ulcers with H Pylori?
The licorice root with mastic gum would be my first choice. Small amounts of dried comfrey root powder can be taken in addition to help speed the healing process.
Cabbage juice is also very good for healing ulcers.
Not all ulcers are caused from H. pylori though. Nonsteroidal anti-inflammatory drugs are also well known for causing ulcers, so these need to be avoided as well.
What things (foods, drinks, activities, etc) should be avoided when on the regimen?
The main things that should be avoided are caffeine sources, alcohol, dairy, and strong spices like cayenne since you do not want to irritate the ulcer if that is what is present.