Carb, sure. You can run that even with the stock cam.
I am doing it right now with a 500cfm Autlite carb. A little big but the cam and other stuff will grow your engine into it.

That cam is a little wild, but if you can still ponder that T5+4.56 rear it will work. (That rear is not so bad - with a mild 0.75 overdrive of the T5, you have effectively a 3.42 gear which is liveable even on the freeway. And, with that cam, your engine won't be happy cruising much under 3000 anyway.

Here is what the Gonkulator says about your Buick, stock 250, Clifford and 500 Edel, Headers, Stock cam, T5, 4.56:
Torq 219 at 3000
Powr 168 at 4700
16.72 at 80.5

Now add the Comp 230-230 cam:
Torq 231 at 4000
Powr 218 at 5500
15.81 at 86.1

Yup, it works, at least the Gonkulator thinks so.
I'd go thru the engine first though since I was shifting the Gonkulator at 5800, pretty high for a tired original 250.
Next up would be a fancy cylinder head.