can a CW laser diode driver be replaced with a laboratory power supply just to check if the laser module is working? If I set it, for example, to 10.5V at 3A, can I verify the correct operation of the laser diode? With this power, can I temporarily avoid liquid cooling?
I know very little about lasers, and nothing about the particular model you are testing. What I know as a thumb rule is power laser diodes have an internally photodiode to measure the power output. The photodiode is usually in a closed feedback loop that regulates the power for the laser diode. That is a high speed regulating loop, so I think if you plan to automate a control loop using an external power supply, it won't work. Lab power supplies doesn't respond that fast.
I wouldn't dare to power the laser diode alone either, disregarding the internal photodiode. If your plan is to set a constant current in the lab power supply, beware most lab power supply have big electrolytic capacitors at their outputs. This means, if you set your power supply for, say 5V/10mA max, the output capacitor will be at 5V, and when you connect the diode, they will instantly discharge into the laser diode, with many amps of instant current. Such big discharge current might damage the laser diode long before the lab supply will start to deliver regulated 10mA. The output capacitors in many power supplies are usually outside of the feedback loop that was supposed to regulate those 10mA. It is like charging a few thousands uF at 5V, then remove them and connect them in parallel with the diode.
I won't power the diode without proper cooling either. That's asking for troubles. Why risking that?
Even if you successfully improvise, and eventually start the laser and check the diode is working, how do you know you didn't inflict any damage while checking? The diode can melt only partially, then later, when properly cooled and powered, the damaged diode will deliver less power than it should.
I'll wait 1-2 days for the manufacturer's tech support to reply. I think they will reply. If they don't, write them again, or make a phone call to marketing/sales, and ask to redirect you to tech support.
I'd be curios to learn how you tested, in the end, and how it worked.
Good luck with it!