That host is the "SD303" which is identical to Lazerer LZCS and similar to Laser 301's. I think if the power switch is on the driver itself then that host might be workable, but the switch needs to be aligned with the button or else it probably won't work. I've managed to take these lasers apart, remove the heatsink and module, and then reinstall it; the lasers ended up working just fine, but alignment of switch and button was a problem.
The driver must be mounted close to the diode/DPSS module and every pre-made driver/diode/module setup will have slightly different lead lengths, which can be enough to mess with the switch/button alignment.
The driver board also needs to be supported below and ideally on the sides... can be easy, just put a stiff piece of foam or some folded cardboard under the board... but can also be hard to get the supporting material in there due to the confined space. There is a non-negligible risk of ripping components off the board when doing that, it never happened to me, but the potential is clearly there.
All of that translates into "pain in the ass." As much as I love the LZCS/SD303 host and my Lazerers (I carry my 450 and 532 everywhere), I've more or less given up on using this host for DIY (the Chinese version, anyway), as it is too hard to work on.
You might look into a C6 or similar host, I do know that some members have built DPSS units in these hosts but I am unable to advise on specifics. But I definitely can't recommend the SD303/LZCS host as a DIY platform - it is not DIY friendly at all.
Adaptable Host for 12mm (Green) Laser Modules - Detailed item view - OdicForce Lasers Online Shop
Usually these types of kits, you remove the final lens from the brass module and install it into the laser host.
I've not used something like this, but been eyeing this host for a while.