Hi – I’m coming to this discussion late so sorry for any rehashing of old data.
I regularly use a Kollsman periscopic sextant mounted to a tripod using a custom 3D printed base. I normally use the Polhemus computer to figure MOB (with MOO of 0 since I’m not in a fancy flying machine) to do the running fix or normal nautical reduction methods using Pub229. For fun, I do use the 2-minute averager and I do precomputed timed sights.
With the greater accuracy of Pub229 reductions, my 3-star fixes usually give a very small position triangle with a fix error in the 0.5-1nm range.
I like that I can take a shot on anything I can see at any time of day I am able to get out. I live in a forest so my sight lines are frequently obscured by trees, but I can see enough sky to get stars spread out enough to get good fixes.