Yes, I would advise buying one of their green handheld (HL) lasers either 50mW or 100mW. The HL host is much better than the LP host and better heatsinked so if you buy a DPSS laser (532 green) it will in theory be more stable.
I have discovered that mine actually prefers to run cold and then mode hops like a MF after being on for about a minute; a theory I have going is that the 808nm pump diode is overdriven slightly and fires at bang on 808nm from the get go, and then begins to lase closer to 809nm once it warms up, causing the mode hopping and instability of the DPSS process. Most people see it the other way around, mode hopping at startup and then stability as the pump diode warms.
regarding the greens, I have never seen 520 or 515 in person but I can't see me buying one. Turqoise is my least favourite of the colours and the aforementioned wavelengths look to me in all photos I've seen to be at the green end of turquoise. Many people say it's "greener" than 532 but to me 532 is about as green as it gets... a warm green, but definitely very green.
If you have any questions to ask me about the laserbtb HL host, fire away.