Or, if the goal is to work with standard soundfonts, just stop using non-standard mappings within Cubase. Zip Includes: 1Track Template with all audio outs, (you can then add this to a folder, Track templates can not be saved with folder) 2Drum Map (with drum names, drum hit types associated with Addictive Drums) I have arranged these to my liking, but remember you can drag and re-order as you like. Or, just find a soundfont that uses the non-standard mapping you elected to use. Then do the same for every other pitch you need to change. Right-click one note that uses pitch 77, Select / More, Same pitch, OK - now they are all selected, and you can use the arrow keys to move them to the correct pitch. But if Cubase lacks that capability, you can make MuseScore (which wasn't really designed for MIDI manipulation) do it for you with some effort.
Best if Cubase can be configured to remap on export - that seems like a pretty basic thing for any program that specializes in MIDI to support.
If so, then what you need isn't a new mapping - you need new pitches in your score. Drum maps allow you to see the MIDI notes as you edit or program. Hmm, are you saying you don't actually have a soundfont that uses this mapping? That is, you created a MIDI track using a non-standard mapping using Ciubase, but you don't actually have a soundfont that uses that same mapping?
