TBH the Shimano ST6000 and Daiwa RP 4000 are more suited to tench and barbel fishing, as such just won't be balanced on your rods, I'm guessing it'll be the same scenario with the Daiwa Procaster 4000, what with it also being a 4000 sized reel though I've not seen one too comment on.
Regardless of whether you're fishing at 30-40 yards or 100-120 yards you need a balanced tackle set up. When I had a set of Greys 3lb test prodigy's, yes they were used for my med-long range fishing, I primarily used them when fishing at 50+ yards and coupled them with Shimano LC Baitrunners (which are the original big pit reels).
Both rods and reels were more than capable of being used at 20-120 yards. Plus with a bigger spooled reel you'll get significantly less line twist than with a smaller diameter one.
Thing is unless you get various rods and reels to cover every eventuality (which I used to and then it gets damned expensive), a compromise is needed. I sold my Greys rods and Shimano reels preferring to keep my Rod Hutchinson 2.75lb Intuitions, which are coupled up with Wychwood Epic 10K's. For no better reason than I liked them more, can't say exactly why, just do!?!
So in essence if you know your rods like them and are looking for a set of three decent reels to go on them costing upto £70 each, I recommend a set of Wychwood Epic 10K's if you think most of your fishing will be in the 30-80 yard range and if you're thinking of going beyond 80 yards, go for the Wychwood Equinox 12K's.
Smooth reels, not clunky like every Shimano I've ever owned and an excellent silky free flowing clutch, again the opposite of Shimano's with their notoriously notchy clutches.