Tigerfan,
It sounds like you are really struggling!
It sounds like you do need what many of us need from time to time... A break.... a 'mental health break'.
I don't know the details of your situation.
I don't know what the arrangements would be for your kids.
I do not know what kind of family, friends, support system, that would there for you if you were to move.
(I think it is safe to say that would NOT recommend that you make such a move if there is not such a support system.)
If you need some time and some real help and support, in order to be able to then 'be there' for your kids. Then, by all means, make that happen.
I am not sure that moving miles away for months is the best answer.
We all could use a real break from time to time.
But, I think one needs to recognize the difference between taking a break, and running.
Like others have said, these situations can have a devastating and lasting impact on children at this age. If possible at all, do everything to take care of yourself and get yourself into a better place, while the real objective is to be there for your kids, as soon a possible, and as much as possible.
We are all hoping that things improve and work out for the best for you!