Since you're talking about feel/feedback at the limit, I assume you plan to ride primarily on twisty roads and perhaps a track day or two. Depending on whether or not you plan to ride in the wet, I would suggest one of the following:
Metzeler Sportec M7RR
Continental Sport Attack 3
Pirelli Rosso 3 / Rosso Corsa
Pirelli Supercorsa SP
Metzeler Racetec RR
These are grouped and roughly ordered by suitability for longer distances on potentially wet roads (at the top) or dry track days at up to an Intermediate pace (at the bottom). I have not ridden on all of these tires, but here's what I can tell you about the ones I have tried.
Bridgestone S21: I rode the S20 Evo, on a Ninja 300.. mostly on the street but at a few trackdays as well. I assume the S21 is similar but better. The S20 Evo had OK feel and plenty of grip for public roads. It transitioned readily from upright to about halfway leaned over, but beyond that the profile seemed to put up some resistance. The limit came a little earlier than I'd hoped, but the breakaway was very smooth, progressive, and controllable with the throttle. (It was only a 35-hp bike, though.) Overall a harder carcass, so more muted in terms of road feel.
---This is a good place to note that none of these tires are going to give you the audible feedback that some car tires have near the limit. Yet none of them will be ON/OFF in terms of dry grip, as long as
you allow them to warm up first.---
Pirelli Diablo Rosso Corsa: Has the aggressive profile and soft shoulder compound to deliver fast turn-in and steep lean angles, but falls a bit short in terms of road feel due to the combination of a very soft sidewall with an otherwise rigid carcass. Seems Pirelli couldn't decide whether to make a track tire or a sport-touring tire. As in the car world, though, such things can be tuned around. These came to me used on a Triumph Street Triple, and I didn't get the chance before the center compound was worn out. For the price I'd look elsewhere, but for canyon riding I wouldn't discard them. [The Rosso 3 is an evolution of the Rosso 2, not the Rosso Corsa.. so I can't really speak to it.]
Dunlop Q3: My tire of choice for the last several years. Abundant dry grip (and really good wet grip) with an aggressive profile that falls right into deep lean angles. Those carbon fiber sidewalls deliver great reflexes, but with a relatively soft carcass they mold themselves to the road while still delivering loads of feel.. especially when you bleed a little air out of them. The harder center compound makes them reasonably durable for the commute, but not as long wearing as a sport touring tire. The Q3 is the most popular aftermarket hypersport tire by a huge margin, and for the price they are hard to beat. I have only done two track sessions at Intermediate pace on these.. and even though I was not on my own bike (Yamaha demos) I felt right at home, up to and beyond the limit. In fact the demo leaders warned me afterwards I was getting too greedy with the gas at lean.. but that's what a progressive breakaway will enable you to do with good throttle control. I think they just wanted to sell me YCRS lessons.
Supercorsa SP (V2): Just tried these for the first time this week and they are fantastic. But I can tell they're not going to last, maybe 2000 miles if I'm lucky. So far I'm just commuting, not trying to heat them up, but they're already picking up pebbles off the road. Maybe I should add some air, try and keep 'em cooler until I can get up to the canyons. Anyway, the Supercorsa SP is essentially a better Dunlop Q3. They just beg you to brake later, lean farther, accelerate harder. They do need a little more time to warm up, though. And I've heard the wet grip is awful. But if I had a spare set of wheels and/or an endless budget, they would be my "money is no object" choice.
To some extent it's a matter of taste, though. Throw a set of BFG Rival S's on a car that was setup for RE-71R's and the driver will lose time and complain about how sloppy they feel. Of course, if you were to put either in the hands of a brand new Auto-X/track day driver they'd probably learn a lot less than they would from a set of all-seasons. So at this stage, unless you're planning to jump right into track riding, I wouldn't put you on anything more aggressive than a Q3.
But by all means.. use your own experience as a gauge, and take the opportunity to sample the different flavors. Maybe go down to your local shop and see how they look/feel in person. You can learn a lot about a tire without even riding it: