Single transistor constant current power led driver.

I think you always have to do some experimentation regarding the base resistor as the Hfe has a large spread,

You don't have to: the only essential assumption here is that Vbe is constant. Once you have that, the base resistor only needs to be sufficient for the two diodes (or your voltage reference) to be conducting.

Most of the times, something like 330ohm is sufficient.