I went and took DipTrace up on the special offer for disgruntled EAGLE users.
Playing around a bit with the freeware version has shown me that it's not too hard to learn, it seems to have about the right feature set for my purposes and also to be heading in the right direction, and that I'll probably be turning up in the fora with feature requests.
My original plan involved also getting a 30-day evaluation copy of Altium Junior and playing with that, but... I haven't gotten around to it, and what I've picked up from ToasterCo (where they use Altium Senior) suggests that it could be a Right Pain. Also, Junior (Circuit Studio) apparently isn't all that great at exchanging files with the expensive product, and it looks like DipTrace might turn out to be not so bad at such things (at least, better than EAGLE v7).
So, the order is placed, my key should be appearing soonishly, and I expect to be putting DipTrace to work this summer. (Probably still be doing the next Gadget or two in EAGLE, though, just because I'm already up to speed on it, and the design template is fully in place, while it's not quite ready for prime time in DipTrace.)
Eventually, I expect to be importing all the Gadget projects into DipTrace for transformation into production versions. The integrated 3D modeling is looking like a nice feature. Also, the autorouter doesn't seem so inclined to produce nasty ugly routes.
For now, though, I'd better get back to work on the latest toaster subsystem.
Update: Key received and installed; DipTrace on my workstation (haven't been at the laptop yet today) now shows as full version, and no longer gives pin-limit errors if I try to add things to the imported-from-EAGLE G1057 test project. Haven't yet tried adding signal layers (I think the production versions of the Gadgets may end up being 4 layers, with the inner layers mostly being nominally-power planes implemented with fill areas on signal layers, but I can also see doing some inside-out stackups in power areas—signal sandwich on power—because it's easier to get prototype fab houses to do heavy copper on the outside than on the inside).
Rainy Thursday agenda: accounts receivable, catching up on some assorted correspondence, ordering parts for a test & calibration fixture (since OSH Park went and put my boards on a fast-track panel), and maybe I'll actually poke some numbers into TurboTax this afternoon.