If you want to keep with the aviator heritage go for a stowa or a a sinn. I understand that you have your heart set on the particular aesthetic B&R has but if it were me I would wait to see if it was a passing fad or something that stuck with me over the long haul. Like others have said B&R are overpriced for what you get.
You could always go and save up only a wee bit more and just get a Rolex no-date sub like a 14060 for just under 4k...or get a submariner homage for cheaper than that. I know some people have problems with homages but hell i'd take a steinhart over a B&R any day.
Theres also an omega speedy pro or a seamaster too
I keep reading the word "overpriced" in regards to B & R but luxury watches are just that and the price can only be justified by the wearer. Most would say any watch over $100.00 is overpriced and even a relatively high end piece like a BR03 would be beyond the concept of most people much less a Journe, Patek Philippe or AP. And even the watch enthusiast who owns these brands may have a B & R in their collection because it's what they want on their wrist. The square models been phenomenally successful for B & R for a reason. They are cool, big and the right watch at the right time.