Actually, there is a solution to that you can't just move to the past and disconnect from the present. You will be still living in the present while changing past which in turn, changes your present time as well
so, in essence, you will be not traveling anywhere but just modifying the present using pretty strange way.
That way you will be unable to perform changes that remove the reason of getting back in the part at the first place however you still can perform some changes that replace original reason.
For example, you cant come back in time to save your wife because doing that would remove the reason for getting in the past in the first place, but you can fake that death and abduct her to the future still retaining the reason to go back and save her.
Or it can get even weirder as you save her then meet yourself and give instructions what you have to do to in the future to prevent something that never happened anyway.