'Your' stretch will be classed as 'upper' Trent. Swarkestone and Shardlow are very close to me, although I have little experience of fishing them. It is quite narrow - nothing like as wide as the river downstream of Nottingham which is where I am most 'at home'. The far bank is only a lazy flick, but I appreciate that the flow can be strong.
Most of my fishing is done below Nottingham. I generally use 5, 6 and 8 pound Maxima mainlines with hooklengths ranging 3, 4, 5, 6, and 8 pound Daiwa TDR rig line. My usual choice of rod is one of my Daiwa 11/13s - Whisker Kevlar and Amorphous Whisker (heavy version). I don't use mine at 11', but this might be a useful option for you on the narrower river. There are other options open, but if money is not a consideration, then a Daiwa 11/13 would be ideal (they still fetch good money on ebay). I am sure other manufacturers offer something suitable, but can only speak for the stuff I use. For lighter work - 5 pound mainlines, 3 - 5 pound hooklengths, then an old TriCast quiver/feeder rod fits the bill (casting weights 0.5 - 1.5oz).
Don't rule out the Daiwa Porky Pig, either. I can recommend the 12' or 12'2" versions with a heavy carbon quivertip; they did do a hollow tip version as well, but the quiver version will be more than adequate...
Hope this helps.
PS the only reason I use 8 pound mainline is so I can raise the hooklength strength accordingly if barbel are likely to be caught