Given limited technology and the desire for something electric and programmable I think your best bet would be a relay computer. Konrad Zuse built the Z1 entirely out of hand-cut sheet metal strips in his parents' living room:

https://en.wikipedia.org/wiki/Z1_%28computer%29?wprov=sfla1

That said, you would need lots of flexible ferrous metal and a source of electricity, probably large voltaic piles. And you would need to find a way to produce and insulate large amounts of wire.