As Skip & Lynne have done I stripped the shrouds using chemicals- these worked well.
I had the chassis and inner body, steel wings and bonnet blasted by someone with experience and did not do that myself. They used a fine aluminim oxide grit and a low-ish pressure. Everything cleaned up well without any warping or waves. Its a very messy job and leaves grit everywhere that can be a bad contaminant for any later painting or mechanical work. The panels need to be cleaned thoroughly afterwards- not a problem with wings but the innerbody is trickier.
I used a cabinet with a siphon feed gun, a compressor rated at 28CFM and a medium aluminium oxide grit for blasting suspension components and other odd bits myself. This worked well and cleaned the parts more effectively and quickly than other methods. I didn't worry with these about distortion.
NOTE too it is strongly recommended that you not use sand itself, and other non-silca based media are less dangerous. Silicosis has been found associated with using sand and professionals do not use it. Whether you'd want to use it for a small job is your own call but commerical suppliers of the blasting material don't usually provided it- they know the dangers (and their potential liabilities, I suppose).
Have the blaster prime the panels immediately for the bare metal will soon start rusting. The blasted panels provide a good foundation for paint- better than the unblasted surface for paint adhesion.
Here's a fairly good overview of the issues in blasting:
https://www.team.net/www/morgan/tech/blasting/mediablast.html