The original question actually continues to be an interesting one...
In Ohio, it appears most or all municipal courses are closed in observance of our state's Stay at Home order. Daily fee publics are still able to operate, and many or most are as far as I can tell although there seems to be a little controversy. Online payment is being taken, carts are being disinfected and only allow a single player or players from the same home to ride. Walking golf was specifically mentioned by our DOH director during a daily update as something "that might work," so we've got that going for us... which is nice.
As far as I can tell, most private clubs are allowing play, though pro shops and clubhouses should all be closed by now I'd think. The only staff at my club are essential maintenance staff, and all facilities are closed, but the course is open for socially-distanced walking play. No guests permitted. Bunker rakes are gone, and the cups have been pulled up 2 inches or so - the ball just bounces off and never goes in a hole, so there are no shared points of contact. I think that's what most clubs in the area are doing.
This is going to continue to be an evolving situation, community by community, for months. Regardless of what anyone thinks is the right answer, I continue to be very interested to learn what different courses in different communities are doing at any given time in response to this virus.
To that end, I should mention that my state appears to be doing a relatively solid job of flattening the curve so far, and I'm very pleased with my governor and DOH director. I do not expect that we will be able to play golf without interruption throughout 2020, but I'm optimistic that it can be a safe and appropriate outdoor activity during times like this when our hospitals are concerned but not immediately under siege. As a son of Kentucky who lives four miles across the river now, I would also be remiss if I didn't mention how much I appreciate the steady handed leadership of Governor Andy. He's not my governor legally, but I'm damn proud to call him my governor.