No sound is not as great sign, but it does tell us RAM is not a problem (yet).
The fact that there is no change on the screen or sound with the ROM in place gives a few clues.
I'd be looking again at the CPU, data and address buffers. Double check you didnt accidentally bend a pin putting them back after your first round of testing.
If you suspect the 2732 thats an easy check, just read the data from it in your new eprom burner.
They do use copies of the IIe ROM's sometimes with a name change patch. However, Apple do a sneaky thing, the masked programmed version of their ROMS use the unused pin as an extra enable line which from memory needs to be tied low. That line is wired up on the mainboard for the masked ROM's and ignored when you use EPROM's in the board. But the masked ROM's read as blank in an EPROM burner because that extra line is not asserted. So you wont be able to read the chips to copy them, download the binary image of the ROM if you need it.
I have 6 faulty IIe clone boards here but they all have different layouts and missing chips, some don't identify what chip belongs in the empty socket and most have no ROM's.
What I have tried is putting the STK chips in a real IIe and I found they don't have the same pinout.
I do have one complete clone mainboard here, it is only populated with a 27128 in the 2764B position, the 2764A position does not have a socket fitted.
Some good news however, the working board I have happens to be the same as the one you have. So I can assure you that my diag ROM in a 2764 should work in the 2764B socket of your board because it works in mine. If you need working copies of the other ROM's let me know and I can read the data from these ones and upload them.
Its a shame you are not local, I could test your STK chips in this board.
Edit: I decided to read the EPROMS for you just in case.
https://drive.google.com/open?id=0B8aVm3oIO3icWHpjRVJIbDZfNFU
OK, I tried both the EF ROMs, even doing a combination of all 3 in the 2764A and 2764B sockets. No sounds.
They worked fine in my Apple IIe
Would these boards use copies of the actual IIe ROMS?
I ask because the 2732 @ F4 is considerably warmer than the other 3 ROMs.
I've attached a picture of what I get on the screen below. It is not precisely the same all the time, but, pretty representative.
I'm going to have to determine if all the IOU pins on the chip are the same as its STK equivalent.