Update
- solved
Stupid mistake on my part. Facepalm
I assumed that 4.8V was the voltage that the 187 required because I popped 4 NiMH batteries into it and it switched on
Checked the manual and realised that it called for 1.5V AAs, which is 6V
Tried 6V on my PSU, and the backlight stayed on.
False alarm! In case anyone else has the same problem I shall leave this post here, to my shame