Corey, I tell ya, man, finding that is gonna be a challenge. We manage about 200 houses in Valdosta of all sizes & rental amounts, but i don't have but one four bedroom (occupied) and none with four baths. When or if you do find something that'll work, I expect it's going to be right at the top end of your rent range.
Based on 36 years of property management, you guys might want to be sure you've got a written agreement between you and your wife and the husband and wife of the other couple about everything from noise to paying rent and utilities on time to thermostat settings to space in the fridge to what happens if one of you is transferred and the other isn't. It can get complicated and I've seen best friends for life fall out over things like that.
I don't know what kind of dogs you have, but you might also be aware that more and more, insurance companies are refusing to cover a landlord's house if the tenant has one of the dogs on the list -- like pit bulls, chows, even German Shepherds and Doberman's are on the list of some of the insurance companies.
I wish you the best of luck, you're probably going to spend more time than you want to find a place. As I said, I don't have anything like that vacant right now, but start with the other big management companies. Mike@mikehillrealestate.com