I'm going to have to get one of the more compatible 3Com Etherlink III cards, I think. I've tinkered around with the settings with the Farallon plugged in and the device won't open under Miami. None of the potential strange crash/reset problems have manifested yet.
I'm pretty sure I'm configuring it right, since I've done a fair amount of this sort of thing on other platforms, and I've got my external modem dialing up Access-4-Free internet (which I highly recommend for dial-up in many US localities) without problems.
I've got a new problem now, but I should probably put it in another thread, to avoid confusion and duplicate messages. :-o
Thanks for the advice. I used to read the Compuserve Amiga forums regularly. It's nice to see that the Amiga community is still as helpful as ever.