The gearbox is remotely mounted from the engine (at least it is in the very early (Moss box) +8. I'm assuming the same for the +4, so it may be quicker / easier just to lift the engine?
Graham (G4FUJ)
Sold L44FOR 4/4 Giallo Fly '11 MINI Countryman Cooper D All4 '90 LR 90 SW