When I first decided to try the Lock-Right I was careful about figuring out which unit to purchase. The original differential in my truck was a 10.25", 3.55:1 gear, open differential. I got the right parts for that differential. With all the troubles, and subsequent talk with the engineer, we both verified I did have the right stuff...It just would not work properly in my case.
To be fair, nothing broke, everything went together per measured specs...as well as by feel when I tried that after the measured stuff did not work. It just did not work.
PowerTrax was really good about helping me and eventually refunding everything despite my messing with the parts. I purchased through Summit by the way and they were great too.
With your drag race intentions I suggest you skip the "lunchbox" locker idea. Save a bit longer and get the stuff that will last, work properly, and have no special needs.
I run a Detroit Locker in my 7-LITRE Galaxie and it is a set it and forget it thing.
A bit noisy?...yup. Clunks into lock?...yup. Requires a little different driving style?...yup.
Locks every single time without fail?...yup. Gives any trouble?...Nope.
I have witnessed, as well as used, plenty of clutch style locking differentials and here is my thought on those.
In a stock, or slightly hot rodded engined muscle car running street tires (nothing specifically grippy) they work pretty well because the power is not there, and the tires do not grip really hard.
Once you modify to power above about 500lb/ft torque you will burn up the clutches quick.
Once you install sticky tires you will burn up clutches pretty quick.
Once you install a high stall converter you will burn up clutches pretty quick.
If you have a nice 9" Trac-Lok, 31 spline, behind a stout FE, running Drag radials, and a clutch transmission, you can burn up a clutch locker in three passes.
Unless the car is totally dedicated to drag race action I do not recommend a spool, or anything like that. They do get the traction, but they alter the driving style considerably as well.
Save your money until you can get the Detroit Locker, then put the rear end together.
For now, let the one rear tire smoke and pedal the throttle.
In the long run you will be better served going this route instead of some sort of compromise.