EDIT: Do you really need an AC supply? Some devices formally require AC supply, but use internal rectification anyway - supply them with DC and they won't complain.
Take a look at this thread.
https://www.eevblog.com/forum/projects/commodore-64-replacement-psu-project/Especially look at the schematic of the C64 just inside the connector. The C64 needs 5VDC and 9VAC, but the 9VAC is used to derive +12VDC and +5VDC internally. There's a part of the schematic there that's cut off, but I think it uses the AC frequency to feed the RTC. It might also use it to generate -12VDC somewhere on the board, but i read that this is only used for the RS232 ports.
for the 60Hz line frequency to feed the RTC, you can hack up an external 555 timer for that if you need to.
You can run the whole thing off DC, and you don't need to go to extremes generating AC for it.
EDIT: you might need to short pin 1 and 2 of the 7812 (remove the cap C90) and you don't need 9VDC UNREG if you don't use cassette tape.
EDIT2: there's some rewiring involved inside the unit, the point is you don't really need the AC at all.