Change miami to use your serial.device or the built in serial-driver and plug your modem in to it.
If the problem still happens you know its got something to do with the modem.
If it goes away its the VARIO
You could run miami init again and select haynes 14K modem.
Don't let the speed confuse you its just the init string for the modem your interested in.
It should affect your browsing speed but give that a go to see if that cures your problem.