I know that to you a smaller profile tire is cheating, but it's just so much cleaner looking than having a hole in the top of your fender. Just checking on tires.com, we've got a 285/30 out there and made which is only an inch taller than a 265/35 22.
Now I'm a bit old school in some ways, so let's talk about when 20's were new and the biggest thing you could run. There was this cat who had 20's on his Toyota and did the same thing to make it work.
Notice the cowled fenders? That's what I picture your truck to look like.
Caprice guys have the same problem. 20's look right on the cars when they lay frame, but they don't fit under a bodydrop. To fix it, one guy did this:
Same thing as the Toyota. Now if you look at both of those trucks, you'll notice a common thread; They both have hoods that are pretty much flat. By wedging them up at the hood, the lines stay relatively natural. Sure it still looks off to me, but it's not that bad.
Now on your truck, the hood goes flat and then rolls down about an inch or two before it meets the grill. If you pivot the hood and fenders off the front like it sounds like you're planning on, then the hood and grill won't be level. You'll have to do a lot more work than you planned.
Ultimately it comes down to time and money. Yes, lower profile tires will set you back $1000 or so, but how many hours will it take to fix the problem and how much is your time worth? Cheating or not, 24's won't fit under the hood of an obs chevy without those low pros.
My shell may not be your taste, but having tires stick above the hood isn't a matter of taste it's just poor design.