Former instructor here. I would also strongly recommend against geo-bach while you're in flight school. I get the logic on paper - don't make the family move around when your location and timing are uncertain. In reality, being away from your wife and kids for 2+ years is stress and distraction you don't need on top of an already heavy workload.
Flight school is not like a typical Navy school, where you get knocked off at lunchtime on Friday (or earlier) and unless you're on the duty section, no duties or responsibilities until muster on Monday. It's more like a very demanding grad school. You will need to be living in the books, and once you're flight-side, weekends are for cross-countries, or studying if you're not scheduled. Leave is rarely granted for students and usually only for special circumstances (like, mom's hospitalized type special circumstances). Especially since your family won't be within a reasonable drive distance, your chances to see them will be very, very few and far between. You (and the wife and kids) would need to be fully prepared for long-awaited (and paid for) weekend visits being cancelled at the last minute because StuCon needs you to catch up on X's.
Some students do make it work, and obviously a lot depends on the people in question. I've known way, way more that regretted it than were glad they did it.