Hi, I've got both (or, at least I have the "old" Flat 50s which I believe are now marketed as the 52s).
I think you want Yardbirds for my understanding of what you describe.
The BGs are thicker and more aggessive sounding in my hands. Great for when I want a guitar that is playing the only guitar part.
The Yardbirds are sweeter without getting too polite. I can use that guitar for general rock, pop, and virtually anything. It's excellent for layering guitar parts without getting muddy, and for jangly stuff. It's also the one I reach for if I want a "telecaster" lead-break.
Both would probably do you fine, but I think Yardbirds is what I'd recommend.
(btw, in my experience, the BG bridge feels somewhat more powerful than the Yardbird - drives my amp settings harder)