Well, in all honesty, the eldest two have only done one year in this school, right? Is this your 8yo's second or third setting? At these ages none of it is really critical, however we have always tried to do our traveling in the holidays. (Dd1 is in her 8th or 9th setting, lost count). It sounds as though the idea is based on your own sense of wanderlust/ not settling, rather than any specific rational decision. Most trailing spouses do get itchy feet after being in one place for a while, but it doesn't usually kick in after 12 mos...
I would make plans for next summer - depending on where you are in the world, you should be able to plan an 8 week trip without interfering in schooling. In the meantime, concentrate on working out how you can make the most of your current location.
Can you explain how living in a different place for a month, but still schlepping the kids to and from school, being a single parent would give you what you are looking for? (Unless it is visiting 'home', where friends and family would obviously be the pull).
I did one trip like this, back to the UK, in the summer, but it was before the kids were in school. This summer, we stuck all three on a plane and sent them to grandma's for a month.
I don't see anything wrong with it per se - but I would only do it in the summer, and I would be considering exactly what the aims of the trip are. For me, being stuck somewhere 'new' with kids in school and no dh, and no one I know, would be pointless. I would want to either have the freedom to explore with the kids or dh...
But can you pinpoint exactly why you feel the need to do this? If you are feeling the need to flee at the 12 mo point, I would worry about the next three years?