Have you looked at the largemouth Sage setup? I forget the series, but the largemouth setup comes with a short rod, reel, and perfect line for largemouth. It is used pretty regularly around here for Snook on the docks. I would imagine it would be pretty perfect for Reds too.
Edit- here it is:
http://www.sageflyfish.com/fly-rods/specialty/bass-ii/
I would go with the Largemouth or the Peacock edition. Perfect for what you are looking to do, but also useful for lakes too. That price for rod, line, reel, and case is pretty good too.