Hi yakari...
And welcome to Photonlexicon. Yes a DPSS laser can replace a HeNe laser for the application you are wanting.
However, you need a 'special' DPSS laser as most aren't SLM. I would suggest something like a Coherent C315m, this is a very stable laser, it's SLM and has a coherence length of many meters. They are quite expensive, but is you're only needing low power try looking for a 20mW one.
Another good laser is the JDSU Microgreen, although the beam profile isn't as good as the C315m, it is SLM and has good coherence length. Some of the small B & W Tek laser also meet the characteristics you require.
One other thing... The lasers I've mentioned above are green lasers operating at 532nm. There are some low power red diode SLM lasers, in fact quite a few diode lasers operate in SLM at low power. The only problem is that you would need to have a means of testing for SLM and that can be expensive.
I think there's a good chance that someone will see this thread and be able to offer to test a low power red for you. I'm thinking of Dave Battin or Phil Bergeron et al 
Hope this helps
Cheers
Jem
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