While a fat 50mW beam is a far cry from the multiwatt handheld pointers that are available, you're still looking at a level of laser power that requires some care to use safely. Hopefully you are intending to arrange this in a way that somebody (like your mail carrier, delivery drivers, or utility workers, or nosy neighbors) can't just walk up and get a beam in the face. Since that's a DPSS green, there may be a significant IR component that you won't notice until it's too late.
I don't know about the UK, but in the US the FAA has very stringent limits on the amount of laser light that can enter navigable airspace. In the most restricted zone this limit is 50nW/cm^2, and in the US people HAVE gone to jail for striking aircraft with lasers. I wouldn't undertake this sort of project here in the US without putting a LOT of thought into making sure that the beam couldn't possibly go past my house and potentially out into airspace. I say that having done the FAA paperwork for much more powerful lasers in unterminated outdoor light show situations, it's serious business. For the curious, AC70-1 is the FAA document that explains the limits and all of the required calculations.
All that aside, the listing doesn't say what the actual beam diameter is, but if the housing is 22mm, then the beam is probably something like 14-18mm at a guess. That's doable with galvanometers, but not the sort that you're likely to find as a cheap complete set on eBay. However you can use the same sort of dual axis scanning arrangement just with larger mirrors attached to the mechanical actuator of your choice in place of the galvos. Stepper motors would work, but would have pretty limited resolution--the angular displacement of the beam is going to be twice the angular displacement of the mirror, so a 1.8º stepper is going to give you 3.6º of beam motion per step. Microstepping is of course an option. One thing to note with steppers is that a mirror big enough to scan your beam is going to result in significant mechanical resonance in combination with the motor, so the beam position will jitter around noticeably after a step before settling. Hobby servos would probably give you better resolution with the right MCU configuration, but servos are not exactly known for their stunning repeatability and stability. A small gearmotor with an encoder would probably be the most accurate option for not an extravagant cost.
I would avoid at all costs any sort of kludgy system involving any of the following for the reasons mentioned in the first two paragraphs:
- Speakers as actuators
- salvaged hard drive components
- hot glue or bamboo skewers as structural elements