How do you deal with a “no win” situation?

You’ve weighed the pro’s and con’s on the ‘fact’ side of your thought process
You’ve considered “first, do no harm”
You’ve pondered the “intangibles”
You’re options: do one thing, an ‘action’ or do nothing.

Doing nothing causes one set of problems
Doing something causes another set of problems

How do you deal with situations like this?