Manual transmission swap..
It would be a lot of work to use a Muncie or Saginaw as you would have to build brackets to attach the C-beam to the trans. There may not be a lot of room to install a typical 4-speed shifter like a Hurst Competition Plus (the factory 4+3 manual trans has the shifter inside the trans tunnel.
I would also suggest swapping the differential for a Dana 44 unit. Manual trans C4's had a Dana 44 and the auto trans cars had a D36. All of the '84 diffs were Dana 36 units.
CHEAP,
Good gear ratios
Pretty strong (stronger than a T5)
Not too big, not too heavy
It's quiet
Anyway, there is no way in hell the shifter is going to work in the stock location (on the trans). It would come up somewhere in the middle of the dash. However, there are (at least) two solutions for that, depending on how ambitious you are. Both involve using a "remote" mount shifter similar to that used on the Gen 1 CTS-V.
1. Use a remote mount shifter, and "trans cap" (I'll call it), and linkage to shift the trans, yet have the shifter where you want it in the car. That mechanism would look something like this:


2. Use a similar mounting system for a remote mount shifter, again, but in this case, have a machine ship extend the internal shift rail so that it protrudes out the *** end of the trans. Tie your shifter into that rail directly, using a precision U-joint -like one from a steering column, or something like that. This would reduce the number pf parts between your hand, and the shift fork, by manipulating the shift rail directly. THAT design would look something like this:


Last edited by Tom400CFI; Oct 1, 2015 at 11:18 PM.
The Best of Corvette for Corvette Enthusiasts

And this is my Rebuild thread, if you're interested; TOUGH DAY FOR THE V
You can down load a free tech manual for the T56 ; T56 Manual
Clutch was throw in the trash, shifter was thrown in the trash.
Made my own cbeam bracket. Used an offset MGW shifter (AWESOME PIECE).
Blew 4th with 400rwhp/435rwtq.
Sent it to Gforce for 1200hp build. Going with McLeod Street Twin 1200hp clutch.
See if it lives behind 800-900rwhp.
There's many clutch options available and the ZF was originally a "pull style" BUT there are "push style" options. It requires a serious conversation with any of the premium clutch manufacturers, specialty flywheels can be done by many BUT again it requires a serious conversation with appropriate manufacturers and NOT resellers.
Many struggle with installs but I believe most of the struggles come from using information from several different person's experiences and trying to use maybe short-cuts or not understanding how it was done.
I've never done it but have sourced some parts for a fellow many years ago that did. He left the area before he completed the project and I don't know if he actually ever completed the project. I don't even know if he took the car with him. He wasn't a CF user.
You might contact user ID "LD85" - if he passed on any information to you regarding an install it would be very reliable and I do believe he did a "push style" build. It's been a long while.
None of the swaps you've mentioned should be considered easy/simple and certainly not "inexpensive".
Clutch was throw in the trash, shifter was thrown in the trash.
Made my own cbeam bracket. Used an offset MGW shifter (AWESOME PIECE).
Blew 4th with 400rwhp/435rwtq.
Sent it to Gforce for 1200hp build. Going with McLeod Street Twin 1200hp clutch.
See if it lives behind 800-900rwhp.
http://www.zfdoc.com/
He has been very helpful with information and tips. He specializes in these transmissions and can provide a lot of upgrades too.
From his web site it looks like the part number from the tag picture you posted is a '95-'96 LT1/LT4 transmission. It can be further verified by measuring the length of the input shaft to confirm the difference to the LT5 transmissions.
Data from his web site is below.


















