Biggest/tallest tire on 15x4.5

Do you seriously want the biggest/tallest for your barracuda? I guarantee the tallest won't fit. Street or strip?
Goodyear makes a 28x4.5x15 for a 3-5" rim. M/T makes a 29x4.5 for a 4"rim. Both of those are front drag tires, though I think they MIGHT have a dot.
You can get a 205/75x15 street tire, 27" tall, for a 4.5 rim, though recommended is a 5". I bet you can't get that to work on your barracuda either, without a jacked up front end gasser stance.
I would look for something around 25" tall, maybe a 195/70x15.
(I have a 185/65x15 on a 15x3.5 centerline, but it is shorter and wider than I wanted..... but they were available when I NEEDED something)
You can go to tire size.com and search 500 different size tires for what you want. Then you just have to find somebody that makes them.