As a 6'5" player, let me help with some advice.
I started using LHLB bats, but I only have one of these, because, while it is a lovely bat, I find the weight distribution odd, and was holding it low down the handle. I have since moved to a LB bat, and find that the balance on these suits me very well. Dependent on your location, I'd be happy to meet up so you could get a feel for how these are balanced.
The other point I would suggest is to stand in your stance when waiting for the delivery with your bat already lifted behind you (much like the Gooch stance). At the level you are playing, this shouldn't cause you a problem, and you can then stand upright in your stance and not be hunched over. You don't need to (and indeed shouldn't) lean on your cricket bat like a crutch when waiting for a delivery.
What I would say is that you will struggle to get a LB at 2lb 7oz without forking out for a very low density cleft. You may want to talk to B3 about this as they have a few at the moment, but these are far from cheap. I do have a Hunts County long blade which is heavier than you like, but was got through Jake, and with your budget and Jake's relationship with Tony, I think you could probably get something very good, but you should talk to Jake if you want to take this approach.