Get a 5AR4=GZ34 Mullard England "FAT BASE" 1959-1962 rectifier tube for you new pre.
The Ref 2 mk. II is slightly dry/cool with a transistor amp. The Mullard has a glorious warmth that
will cure this, more or less!

Also I want to point out that the Ref 2 mk II may or may not have a powersupply upgrade that lowers the noisefloor by more than just a little , depending on serialnumber. Worth checking out!! (this is most notable in single ended mode, in which you will use it, it appears)
I'm sure AR can upgrade if you have an earlier serialnumber in the Ref 2 mk II production run.
Take out all your tubes and polish their pins... That will improve the sound also!
Maybe a Sovtek 6L6WXT+ in the 6L6 position?
Awesome pre! But I like the Ref 1 somewhat better. (I'm a 6922 fan really).
Imperial