That will leave only these 4 things electrically required:

1) Fuse 11 (check it for clean, tight fuse contacts)
2) The wire from relay socket to tranny solenoid
3) The solenoid itself
4) The solenoid's short ground wire and solenoid body grounding

If the bypass results in steady OD operation, you can leave the jumper wire in place as the equivalent of solenoid surgery or bypass plate installation.

Relay Bypass Jumper:
Temporarily replace the OD relay with a short jumper wire, by connecting these two relay socket terminals together:
• Input terminal #15 (2 wires, a Blue/Black and a Gray)
• Output terminal #87 to solenoid (White wire)

A good-fitting jumper can be made with flat male crimp-on terminals that are the same size and shape as the relay terminals. This jumper wire will act like an OD relay that is always energized — which is the normal condition until the shifter button is pressed.

EDIT: Regarding #2 above, here's an Art Benstein pic showing green corrosion at the OD solenoid connector.


Art's complete solenoid dissection/autopsy is documented in a lengthy photo series HERE.
--
Bruce Young, '93 940-NA (current), 240s (one V8), 140s, 122s, since '63.