I'm not sure what years, but I believe earlier ones controlled lockup via vacuum or line pressure switch and later ones were computer controlled?
If the trans has a 4 pin connector on it, then there is a +12v wire connected to your brake switch, and 2 ecm wires (one is ecm ground to tcc solenoid). Otherwise I believe they are internally controlled, and the only outside influence it has is via the TV cable. I know some companies make internally regulated lockup kits.
Either way, your computer should be more above the glovebox than behind it; pop your glovebox open and look through the hole where the metal piece that the latch connects to - should see it back there.
I'd say check the connections on that thing - if it's got that 4 pin plug driver's side near the tail housing (only 3 are actually used) then it's likely electronic and you can manage it a few different ways. There are lots of lockup kits for fairly cheap online that'll achieve this; check out summit or jegs for kits.
Sorry I'm not more help, hoping this hones you in a little on the thing or at least gets a true 700r4 guy to shed some light. I had one with my 6.2 diesel before the swap - gave me lots of issues when I first resurrected the thing, but eventually worked like a dream after adding about 90 quarts of atf and adjusting the TV cable.
While the thing is out of the truck maybe check out the governor - dome-shaped cover driver's side by the tailhousing (by that 4 pin connector if you've got it), pop the cover off and it slides right out. Wacky little device that has a set of counterweights on it, make sure those open and close fine and the needle in there is free. Mine was fine when I checked but i've heard they can get sticky or worn and impair trans performance.