start searching about modifying the torque tube.
This is Corpala. A 63 Impala that used A corvette drivetrain.
they seem to specialize in doing Corvette drivetrains as most of their builds include them.
If you have the cash to own a C6 drivetrain then you may have enough to get it done. However I must ask, do you have a C6 drivetrain and want to put this together yourself? I almost want to say if you have to ask you shouldnt be doing it but then again you may be a competent fabricator that doesnt know considering this isnt a very common modification.
This will require tearing out the entire floor of the car and hand fabricating it. Also will require lengthening the torque tube. If you cant do that then look into other options utilizing the C6 subframes. A c6 front clip is available from Art Morrison and you can use a lot of the front suspension components. The trans and motor can be made into a front engine set up if you unbolt the diff and make it into a normal front engine layout. In the back you could either go with off the shelf stick axle options or use the rear cradle from the Vette and hang a CTSV, GTO or Camaro center IRS rear diff in it.
You are planning on 10s of thousand of dollars in modifications. This also requires a fabricator that is capable of handling most of this work. I seriously dont think you know what you are getting yourself into but if you do itll be one helluva build.
It can be done, theres a Honda Civic with a C5 drivetrain in it thats pretty cool and he did it himself. To do it right and make it look nice you need to be able to write checks orhave a lot of tools on hand to make it nice.