I'm afraid the tree would get cut in half long before the deuce would. Since this is "The Tavern" I'll sort of drift towards what you're talking about.
My dream rod would be a channeled, fenderless, angle chopped 33-34 5 window coupe with a layed back windshield, the quarter windows swapped side for side an rotated 90 degrees with a deuce grill shell. The chop requires long hours of metal work, but the results are stunning.
My brother inlaw to my oldest sister (I'm the youngest) took me to thier club garage when I was about 12. They were knee deep in the chopping process on one and explained it all to me while I watched them making relief cuts, fabricating filler pieces and leading them in. Later, they also filled the roof with a piece cut from a Ford station wagon roof. If I recall correctly, they removed the rear window and welded it back in without chopping it because the owner didn't want the "mail slot" look for the rear window.
I got to see it in all it's channeled, candy green over metallic gold basecoat, pearl white naugahyde tuck and roll interior, chrome reverse with spider caps glory the next summer and it was gorgeous. A few months later it was totaled and parted out before the remains got crushed (per the surviving family members request).
I've always wanted to replicate it but in '55 Buick "Titian Red", and minus the Y-block mill....I'm a Pontiac guy at heart.
MHF