Chainline database

That doesn't tell me much - however it made me look up my original crankset + BB order and I have a 107mm BB. Stronglight do them in quite a few variations, so perhaps if I can get one of the 110mm BB that will sort it? Or will my BB then be too big for the frame?

That is the manufacturers information on which BB goes with which Crankset. That was part of your original request and that will give you half of the equation.

I have the ST200 paired with a 111mm BB to work with my Goldtec hubs (notorious for their 45mm chainline). It's not perfect but it works. If you can get within +/- 1mm of where you need to be that is going to be close enough for average hack riding.