I had this same issue! I just got my '98 accord 2 weeks ago. I had it cut out on me the first day I drove to work. I researched when I got to work and I read a ton of stuff about problematic starter switches. I bought a new one and replaced my switch that night cause who wants to stall at 70mph?? Not me.
Anyways, I used my ohm tester on my old switch before i completely removed it and I put its through its paces by switching on and off many many times and I could not get it to fail. I replaced my switch anyways with the new one just so I didn't have to worry about it. The next week, it stalled again while i was on my way home from work.
I got home and researched the hell out of it. Posted a few posts, but then I found a video by a guy on YouTube named ScannerDanner troubleshooting a honda fuel pump issue and found a bad solder joint on the main relay to be the cause. I pulled my main relay and sure enough, it was shorting out with a bad solder joint on the 12v relay side closest to the edge. I re-soldered this joint proper and reflowed all other joints and have been driving ok since.
I ended up replacing my fuel pump/strainer, spark plugs and fuel pressure regulator later that day too which seemed to help a bit with some acceleration issues I was seeing. So far my car had been solid. Drive 80 miles to work and back today with no probs.
Check your main relay. Worth a shot. Search for ScannerDanner or even ericthecarguy and main relay.