There is not a chance on this planet J-11 (or any flanker for that matter) has a combat radius of 2000 km with 8000 kg of payload.
JH-7A has a combat radius of around 1100 km carrying 4 YJ-83s (3000 KGs). And J-11 has a smaller combat radius x payload factor than JH-7A. You can also check the figures for F-14, F-15. The maximum combat radius is never quoted with having maximum payload. H-6K has the ability to carry 6 CJ-10K. It's in fact designed to carry larger cruise missiles. I don't know what it's combat radius is with 6 CJ-10K or 6 YJ-83K or 4 CJ-10K, but it's definitely significant more than JH-7A. Basically, H-6K gives China an additional choice in hitting US military targets in Iraq, Afghanistan and Guam
Yeah I didn't think about that. That's probably true. On the other hand it's not likely a plane like the H-6K will get anywhere near Iraq or Guam before it's shot down, though I can imagine Afghanistan since it directly borders China. They will probably be tracked and intercepted as soon as they leave Chinese airspace given the US almost certainly has radars it either directly controls or can tap into in places like Afghanistan, Taiwan, Phillipines, and Okinawa. The only way a force of H-6K's will get into a position to launch cruise missiles against a place like Guam is by already having defeated the USAF and USN in that region.
To attack a place like Iraq, some gutsy -stan country will have to allow China to overfly and possibly launch a standoff attack from within their airspace. The likelihood of that is close to zero. If you remember the lengths Reagan had to go to in order to arrange a flight of F-111's from the UK to go around the entire European subcontinent through the Straits of Gibraltar to teach Qaddafi a lesson in manners, just because Spain and France refused overflight privileges. China doesn't even nearly have that kind of pull with its neighbors.
H-6's used to attack distant international targets are asking to be shot down. They are not stealthy. They are large and easily trackable. They are slow. They cannot evade any fighter attack. A single enemy fighter that gets through an escort screen (if there can even be one at that range) will kill as many bombers as it has missiles to fire. I think the H-6's are much better and more safely used in the antishipping role, or in a land attack role against nearby targets in Korea and Japan, where the concentration of escorting friendly fighters can be much thicker than what you would be left with trying to reach out as far as Guam, or even within a 1,000km of Guam tbh.