I don't know about others, but at least I never intended to say "that non-Japanese visitors should stick to restaurants which cater to gaijin and not try to venture into local haunts." In fact, quite the contrary. It's just that the mom & pop type don't communicate in English, and that exactly is the fun of it.
But being ripped off is another story. I do hear about a lot of foreign tourists getting ripped off at restaurants and bars. This is not because of the language barrier, but because people who apparently look like foreign tourists are likely to become targets.
So (instead of asking anonymous posters on the internet) why not use these posts as clues and ask the hotel staff for actual recommendations? Or tourist information centers, or go on a reliable day tour and ask the tour guide. They know best. And don't put English on top of your list. Just say that you're looking for a safe place.
As for okonomiyaki, why not go to "monja street"? It's a street that connects Tsukishima and Kachidoki stations and there you will see rows of monja restaurants. Monja is a traditional junk food originally from Tsukishima area, and it is similar to okonomiyaki. Most monja restaurants also have okonomiyaki on the menu, and if you don't know how to cook it, they will assist you. Most restaurants on this street have windows and, as far as I know, are very safe.
Btw, are you Ice or Mthk?