I'd definitely go for an AMI 386 board if you can get your hands on one. In my experience the build quality on the majority of 386 boards is very bad, most of which cannot even properly do DMA. The two best 386 boards I have ever seen were made by AMI. One is a 386SX-25 board that I own (has cache, memory interleaving, lithium ion battery, and very good board quality), and the other was owned by a friend which was one of the baby screamers. I recently tried out this Soyo 386:
http://stason.org/TULARC/pc/motherboards/S/SO … 6A-SY-019B.html
It turned out it wasn't so great, as it did not properly support DMA or work with any of my 386 upgrade dinguses. Even if you could find that Deico Electronics board you want, I doubt you'd ever be able to find the somewhat proprietary SRAMs used to upgrade to 512kb cache. If you really want to run 64mb, you're probably better off with one of the last generation compact 386 boards that supports 16mb 30 pin SIMMs.
Don't give up searching for seemingly obscure things though. If you are patient you will eventually find them. Sometimes it takes me 5-10 years to get what I want, but it's better late than never. I think a baby screamer will eventually come you way (I wouldn't mind one of these either). As far as I can tell it was produced in large quantity.
"Will the highways on the internets become more few?" -Gee Dubya
V'Ger XT|Upgraded AT|Ultimate 386|Super VL/EISA 486|SMP VL/EISA Pentium