[blugill]

If you're going to drop some coin on a big nice grill that you don't want to replace then I'd go with a BGE. It's a great cooker and it'll last forever. But it can be overkill if you just want to cook one burger.
If you want to convenience of gas in a charcoal flavor then get the Weber Performer with the gas start ignition. Also with a charcoal storage bin that stays dry in a complete monsoon.
Oh, and check out the BBQ Pit Boys on You Tube and see everything you mentioned cooked on charcoal.

Check the prices of propane too, on a big multi burner grill you'll use a lot of gas on a four hour cook. A bag of lump charcoal in a BGE will last an entire 18 hour smoke if you cook anything that long.