I sort of did something like that, but was home for two days and away for five. On my first marriage, it was a long distance relationship, and when we got married, I moved to her (small) town. Jobs were hard to come by, so I talked to my old boss in my old hometown and he said my position was still open and if I wanted to, I could work there five straight days. I took him up on his offer and while working there, I'd stay with my brother. At the end of the 5th day, I'd drive the four hours back to the wife and our newborn son.
That lasted for about four months and then I finally found a job in my new hometown. After our divorce, I moved up the road about an hour, to a bigger city, so I'd still be somewhat close to my son but somewhere where the job prospects were a lot better.