I carry a 9 ft, 6 weight, 6 piece, LL Bean rod that weighs, with carrying tube, about 13 oz. It's sometimes a bit of overkill but fishing is one of my main activities while backpacking and since most of my fishing is done high in the Rockies and on lakes where there's usually some wind, it works well for me.
The carrying tube is a fluorescent light tube that I got at HD. It's minimal protection but has worked well for me so far.
My reel is Lamson Guru and it, plus flies, leaders, tippet & hemos weighs about the same, 13oz.