You can beef up the stock axles to handle the 383, it might work out cheaper, but you would still probably have some mods to make for the rear disks. I stuck with the drums, but I recall seeing kits for installing rear disks on the stock axle. They also make the parts to add a second upper rear control arm (ShowCars.com has them).
Eaton Posi, beefed up axles, otherwise stock looking.
Sounds like you are not into keeping original looks, but it is possible to turn your 327 into a 383 and make some good power. You can make even more with aftermarket heads and intake.
My 383, looks like a perfectly stock 327, makes 370 HP and 420 torque, which is not bad considering the stock 327 intake and heads.
If you plan on doing much highway driving, look into the 700r4 or 200r4 transmissions. They have overdrive and a lower first gear which is a big improvement over the TH350.
Like Big Dave said, count on the body shop taking longer and costing more than expected. I would have recommended doing all the messy stuff under the car (suspension, engine, etc) first then going to the body shop, but it sounds like it is too late for that.
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