Hi Dick,
You will have to define what a "good" replacement needs to do ... However, if you want to use the AccuTerm GUI, or use the client-side scripting that is available in AccuTerm, then - NO, there is no good replacement for AccuTerm. (Wintegrate may offer some of these functions).
You can run AccuTerm under Wine. Make sure you add multiarch support before you install Wine. See here for instructions:
https://wiki.debian.org/Wine
Install Winetricks too.
Once installed, start Winetricks, and that will set up the basic environment. Then install the VB6 runtime (through Winetricks), then install AccuTerm (choose 'Run uninstaller' from with Winetricks).
AccuTerm runs pretty much the same as on Windows, but has a slightly different look. (I haven't tried AT 8 under Wine, but AT 7 runs fine).
Cheers,
Brian