There are two things you can to make bridgeboard experience better. (ok 4)
One:
If your A2000 does not have the 16 bit ISA extensions in the last two slot, get some and solder them in, this allows you to have access to three 16 bit ISA cards.
Two:
If you are up to it Upgrade your 2386 to 16 megs using one of the hardware mods on aminet:
http://aminet.net/search?query=2386Three:
find a Cardinal SoundVision 16 bit ISA card that comes with SVGA-Sound-SCSI, and Game port. As amiga owner I know you have extra SCSI stuff lying around and it only takes one 16 bit ISA slot. These come up on ebay occasionally.
Four:
As spirantho has already said a 486SLC/2 or 486SLC/3 that snaps on top of the 386sx is nice to have. The Cryix 50 mhz, like Spirantho's, is easier to overclock the ISA bus.
The Evergreen 486SLC/3 75 mhz does not like the ISA bus overclocked.
The Cryix is better if video graphic are more important to you the Evergreen is better if you want raw CPU performance.