The hole at the back is actually big enough for the T15 65K to fit through.
And the Spherical Reflector calc puts lamp arc center at 125.4 mm.
This would prolly be just about right for the T15 65K arc center.
Could you do a setup with the lamp mounted on the back of the PJ (pointing towards the LCD)?
And simply insert the lamp into the reflector, like a headlight?
Hoobie