Can a LongTail 833 tranny be used in an A-body??

You dont have to use an adapter if you dont care for the factory center console and have buckets seats,

True, but then you'll also have to fabricate your own 4 speed transmission hump, as the rear mounting location will put the shifter well behind the shifter opening on an A-body 4 speed hump.

And you're still stuck with grinding down the front shifter mount and shortening the driveshaft.