There are an awful lot of options for building a 350, including stroking it. If yours is stock, even a mild performance build will wake it up quite a bit. You don't necessarily have to jump up in cubes to make a big difference. There are top end kits where they've already done the math for you (carb, heads, cam, intake, etc.) or you could just ask around and put your own combo together. 350's are the cheapest engine to rebuild since there are so many of them.
Hey, there will probably be way more guys telling you to go 383 or big block, but you can do a ton with a 350. Build it yourself and you'll have a big grin on your face when you're cruising! (plus you'll know exactly what's in it, no presuming, no guessing)
ps- move this to the engine or performance forum for a lot more response!