again, go for 4E which is also like 2E except that it has 16 valve head.
among 4E versions are 4E-FE (16V DOHC single camgear and EFI) and also 4E-GZE (16V DOHC double camgear, EFI and superhcharger)
on the other hand, local Corollas with 2E engines can also be fitted with A series engines. more choices available and nothing to worry about parts and such.
list of 90s Corolla, their model code and engine
92 1.3 GL - EE100 / 2E
92 1.6SE-G - AE101 / 4A-FE
95 1.3GL - EE111 / 4E-FE
95 1.6SE-G - AE111 / 4E-FE