Update:
Busy, sick, plenty of issues to go around, I put my attention to this matter on a back burner.
Last night, I innocently went to update some data, crucial data that resides on my server, my Synology DS214play NAS.
Troubles ensued, big troubles. Firstly, I got a message that the data wasn't accessible. I get messages like that not infrequently, and I didn't stop to read the thing, just looked at it for a second or two to get the gist and did what usually works... restart my database application, Visual FoxPro 9.0. The app started with a message that tells me that it has a handle on the data (via WIFI), but then instead of proceding in a normal manner simply disappeared, vanished, kaput. Some troubleshooting revealed that this was happening from all my machines. Looking at my development files I saw where my opening screen (which never got to appear) had been changed when the problem began. That should not have happened. Nothing I did should have changed the opening screen files. I replaced them with backup files I had and the problem disappeared. OK.
Then I try to access my data again and get super long delays of up to 5 minutes waiting for the (Not Responding) Visual FoxPro 9.0. Instead of sitting on my hands for another 5 minutes (or who knows how long), I kill the process several times. This is the very problem that motivated me to start this thread (along with counseling in a thread elsewhere that my problem stemmed from network issues).
It was suggested (back near the end of 2016) that I might have more than one DHCP server, causing conflicts that could account for my occasional tremendous delays. I found out a few weeks ago that my modem (Comtrend CT-5072T) is actually a modem/router, but was assured that it's running in "bridge mode" so it is not acting as a router and is not acting as a DHCP server.
Rebooting my NAS last night (actually, early this morning was when this recent episode happened) did not help the problem. I then restarted my Asus RT-N66R wireless router, as well as the switch that attaches to it. The problem was gone!!
I looked up "can restarting your router fix network issues?" I got some pages and came upon some ideas, one being to upgrade the router firmware, the other to run 3rd party router firmware such as DD-WRT.
I upgraded the router firmware. I searched and found that indeed there is DD-WRT firmware for my Asus RT-N66R router.
Do I know for sure that the problem is rooted in the router? No, I don't, but I have reason to suspect it. If I get problems again I will look at changing the firmware to DD-WRT, which I ran before on my Buffalo WHR-HP-G54 802.11b/g wireless router.