Here's an idea, mounting it in stock location, but slid back about 4cm to allow cable connectors to fit. You can make mounting plate that bolts to factory location, then provides 2nd set of studs further back to mount new regulator. Like this plate, used to mount SH847 on VFR in stock location but with connector rotated 90-degrees for cleaner installation:
OEM RR compared to SH847.
Installed, wiring flows backwards, much cleaner than draping over radiator.
So here's what it would look like on your bike. Make plate that bolts to factory location, with set of studs that allows you to mount RR rearward (thread holes in plate and install screws with red Loctite from backside). Then you can re-use factory wiring with new connectors in same location.