I'll answer my own question since we just returned. Those of us with Verizon had excellent service, with one or two exceptions. AT&T users did not fare so well. They had little to no reception. I can't say about any other services.
I experienced about the same a few years ago on a similar tour. If I was outside with my Verizon service I could make calls. A lot of the rest of the people on the tour had trouble. I did not ask what service they had. I had hoped it would be better, because I now have AT&T and am planning on this tour in a few years.
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Cheers,
Jan