I've long known about the 486 overdrive upgrade path, but that's still too slow for any modern use.
One thing I've considered is adding an computer-on-a-card like this one:
586 upgradeIt plugs into an ISA slot (just to anchor - does not need to be an active slot) and it's basicly a full PC motherboard in an 8-bit ISA card form factor. It's primary use is to upgrade a hopelessly outdated PC and using the existing floppy, power supply, and monitor...
My thinking is that if you had a big-box Amiga with a scan doubler, a PS/2 mouse adapter, and a PS/2 keyboard adapter, you could encase the 586 ISA card in the Amiga, and use a K-V-M switchbox to allow sharing of the same keyboard, mouse and monitor.
There would be no "bridging", but you'd have your Amiga and a modern-ish PC in one box.
Has anybody done this?