leeboy2k3,
Just some observations on what's been written so far...
"
wont break the bank" - that doesn't say anything meaningful abut your budget. £200 for one person could be a fortune, but £2000 for someone else might be a drop in the ocean.
If you've only got a couple of hundred quid to spend then I'd say you can't afford to be that picky.
You've said that the CRT is 1250 peak lumens and that the LCD "
has quite high lumens" - an AX200, rated at 2000 ANSI max. TBH I'd expect both projectors to put out less light that the spec sheets suggest. Once they're set up for a good video image you can expect the brightness gap to shrink a bit too.
Trying to find one screen to do two opposite jobs might, and I suspect it will, be a fruitless task. There could be an alternative answer though.
If the LCD is really that much brighter even after it is set up correctly for video then have a think about using
an ND filter to reduce the light power and deepen the blacks. You should also consider running with a fixed iris setting to get better blacks even if you sacrifice some brightness.