I haven't tested if this actually works, but if you have Windows Vista or later *and* your native screen resolution is at least twice as large as the game resolution (in each direction, not in terms of total pixel count), then the Windows Magnifier might offer a good alternative.
Launch the game, and don't let it change the resolution. Then, press Win-Plus to launch the magnifier. Assuming you haven't touched the default settings, this should make everything render at 200% of normal size (so there will be no scaling artifacts).
Minimize the Magnifier window or move it somewhere where it won't bother you, then play the game.
When you need to zoom back out, hit Win-Escape to close the magnifier and restore normal zoom. If it's just for a brief moment, then you can also press Win-Minus to zoom out temporarily, and then Win-Plus again to zoom back in (which should be a tiny bit faster).
I think Avernum 1-3 use 800x600, so if that's correct, you'd need a 1600x1200 screen (or larger) to fit everything. If your screen is smaller than that, this will still work, but you won't be able to see the entire game at the same time, and you'll have to move the mouse near the edges in order to scroll.