My opinion is that it would be an excellent time to begin this fast. Do you have the book? There is a story in it about a man that had a stomach ulcer and did the fast for 10 days as the 'last resort'. His ulcer was completely healed on day 11 when he returned to his doctor.
I am on day 9 and it has been so easy to stay on the fast. The drinks contain all the vits and mins the body needs. I am not hungry and when I get hungry I have a drink and I am fine. The first 3 days were the hardest for me because it was about breaking all the habits and finding something else to do with my time instead of cook and eat.
Anyway, if you do decide to do this fast, get the book, and I bet you will get a lot of support on this forum. Good luck!