A few thoughts. If you are fishing the surf, I tend to stay away from floating lines and go with an intermediate slime line as it cuts through the waves much better. It is also good if you are fishing a little deeper water. If you have an 8 weight rod, I would also recommend either a shooting head or a line like the Teeny 350. If you have never thrown one before, it will take some practice but you can really throw it a long ways once you get it down. Pair it up with a clouser and you have classic striper "chuck and duck" fishing!
As far as the reel is concerned, for chasing schoolies I really don't think it matters much. For schoolies you can really hand strip in almost any fish you are going to hook up with. Having said that, you never know when something bigger might come along so I would go with something that at least has a stout disk drag. It's not like fishing for Tarpon, Bones, or Permit where you are looking at 100 yard runs.
Also, depending on where you are fishing, bringing along a stripping basket can really save the day! Good luck and tight lines!