@uptheresomewhere
I have to agree with Frate on this one...., it's just going to be impractical for you to do this with any frequency to make it worth your while and besides the point of fatigue, it is a matter of time before you won't show up for work due to an irregular operation or weather.
Although we have a relatively small pilot group and only go to a handful of destinations, there are some places that you won't go for months on end, let's say that you move to Honolulu where some of our pilots live, on average you won't get more than maybe 4 nights a year where you would be there on a trip and those nights you will just be there to sleep and try to adjust your internal clock for the departure 24 hours later, the same applies to some cities like Saigon where you can have a trip there this month and then won't go there again in 6 to 10 months.
The only place where you could move and make a good family lifestyle would be Tokyo although it is the only place that contractually we can't live in, the guys that do live here (Married to Japanese ladies for example) have the best options in terms of rosters since they spread their duty days throughout the month and enjoy the blank days and unused standby days at home.