Belly pan and side skirts would work well. And i'm thinking it has the good ol' reliable C6 trans. and probably a Sterling or Dana rear axle. You should be able to find an AOD trans for it and it would be a bolt in, then just have to figure out the computer portion which can be a simple control box.
as a side note, your trans doesn't sound right. i think the C3 trans way back in the early 60's was RPM shift sensitive. A c4/c6 should be from load. You might have some problems inside of it, like the valve body is gummed up.
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Randy
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