im pretty sure the carbonactive will cope.
but i think you have two other options within your price range.
first a method rod with a range of tips. although these are usaully shorter they have more back bone to punch out a feedder.
or buy a barbel rod. i know that sound to beefy for bream but if you look around you can get some very good light responsive rods perfect for bream.
ive found this one and if you read the review its sound perfect for the job and its within the budget and 13 feet.
Drennan distance method feeder rod :: Drennan :: Rods :: Polefloats.com fishing tackle shop
ive also found you this one for the same price read the reveiw. you also get the solid one and a hald test curve top. perfect for bagging waggler, candle, and very large carp wagglers.