It will probably be a bit of a pain in the ass. I bet that 1mw is closer to 15 or 20mw.
I have found this host very easy to take apart and swap modules...
Pick up a LPC-826 diode about 10 dollars US
LPC-826 laser diode 650-660nm 250-300mW [M0023] - $12.99 : Modwerx Shop
You can push them to 300mw and see a nice beam.
You can always get a LPC diode for <$10 and run it at low amperage.
What form factor is the diode?
Or build a 15mw 635nm :)
Opnext Japan HL6322G96-A 15 mW 635nm Laser Diode | eBay