I'm tempted to ask a question on here but TBH, I don't want it to seen from any of my other SE accounts, especially SO. I do send my SO account to potential employers, etc and TBH, I don't want them to know about my personal/family problems. I appreciate that this site is in Beta and probably has limited controls but do you have any procedures around handling this situation?
There have been requests for private or anonymous question asking in the past. The only way to do so is to log out and ask it without logging on, or to make a separate account for use only on this site.
You can disconnect your account, but this will only protect you against the most cursory overview. It is still possible to trace the question back to the same set of accounts; it's just slightly harder. Relevant questions on meta are tagged hidden-communities.
See in particular these posts on Meta Stack Exchange: Need to ask a question anonymously and Fix the misleading description of the "Hide Communities" feature