Sorrento is not on the Amalfi Coast, but if you want to go over there you might be going against traffic, so that's a plus!
Amalfi and Atrani are practically the same town, just a bit of walk between......you could do both in one day.
I actually can't remember if I have been to Praiano.
Positano is a steep shopping street with expensive things. You could go REALLY SLOW and manage to get a reservation for a beach club and maybe do that a whole day?
There's gonna be a lot of "wandering around and looking at things" if you have 6 days on the coast. I would also suggest a trip to Ravello and a hike on the Path of the Gods (where you have to get to Bomerano at the top of the mountains to do it). I normally do Amalfi and Ravello in a day, getting up to Ravello early and then coming back down before the crowds get up there (and overcrowd the bus haha).
I would stay on the AC (not the Sorrento Coast) and pick a place with good ferry connections. If you want to do the path of the gods, apparently Travelmar has a dedicated shuttle bus to Bomerano included in the ticket you buy from them which I hope would alleviate the SUPER CROWDEDNESS of the normal buses.
I think that staying in Amalfi is a pretty good idea, or even Atrani (which is just a short walk) from Amalfi. Amalfi is so convenient, due to its NUMEROUS transport connections, where most of the buses start and end on the coast as well as many options for ferries. Both are less ritzy than Positano, which might be better for your wallet.