All fighter regiments in the first place- are all traditionally tasked with secondary ground attack. Previously this was done with unguided munitions, such as multiple rocket launchers and bombs, which is why you see J-7s equipped with rockets and bombs. Even the Su-27SK and J-11 regiments are tasked and equipped with this, although it seems a waste of aircraft to do a Q-5's role.
With the J-10 this ground attack role has become more sophisticated, to include LGBs and possibly satellite positioned bombs.
The Su-30MKK regiments are examples of regiments that are tasked with both air superiority and stand off ground attack, since these regiments are also tasked in using longer ranged Kh-59ME in precision strike against targets, using Kh-29 for shorter range and Kabs against bunkers.
It is likely that the J-8F regiments, which are interceptors, will be tasked with dropping satellite positioned bombs, since the LS and LT series are being tested on such aircraft.
The JH-7A regiments are what you call truly dedicated strike regiments but they have a potential for their own self defense.
I think the distinction what you're looking for is who are carrying the longer ranged stand off attack missiles akin to the Kh-59ME or SLAM. In this case, the KD series of missiles. You may consider that dumb rockets, bombs, LGBs and JDAM like bombs are going to be standard with all fighter regiments; what you should be asking is whether the J-11BS are going to carry those longer ranged missiles, which are traditionally carried on the H-6s, Su-30s and JH-7As. These missiles require a secondary weapons officer that will have to assign and authorize the targeting, based on the TV feed from the camera on the missile's nose.