Other folks is going to say it too, but I have this gut feeling BG Flat 50 is it. Obviously they're in different guitars for me, but I think the BG would go better with the IT than, say, the Yardbird bridge would.
But I don't know about brown sugars... and... and... we always seem to recommend BG Flat 50 to anyone who opens his mouth...
I was struggling until I got to this:
"I have just reached a point that when I pick that tele up I never use the bridge or middle pickup on that guitar."
That's what the BG Flat 50 fixed for me - I'd very rarely play a tele "bridge-only" until I got one. I also use the Yardbird "bridge-only" now, but more in situations where the guitar is playing with other guitar parts.
When I want a single guitar part to stand on it's own, a big ole telecaster "hey your geetar sounds mighty fine" blues-rock tone, for me it's the BG Flat 50 everytime...