Probably design that fall in that size range would need dedicated engines and was not economically sound. Something between a Tu-22 and Su-34 would need something bigger than ws-15 to be able to have the dash speed needed to flee interception after launching is payload.
(As an addition to the video summary post above: It should be noted that Yankee specified neither the number nor the type/category of engines for the hinted subject.)
Several ways to deal with this issue that I could think of WRT finding the most suitable engines for the JH-XX:
Option #1 - 2x WS-15A, i.e. similar to the ones used on the J-20. Going this way is the most straightforward, but need to accept some important drawbacks, including max speed and dash speed (e.g. Su-34); or
Option #2 - 2x WS-15B, i.e. further development of the WS-15A with greater thrusts than the ones used on the J-20. Requires further effort-consuming and time-consuming development, but saves on number of engines per airframe (e.g. FB-22); or
Option #3 - 3x WS-15A, i.e. similar to the ones used on the J-20, but adding one more engine for more thrust. An exotic design, hence the many risks associated with such engine configurations have to be dealt with (e.g. none); or
Option #4 - 4x WS-19A, i.e. similar to the ones used on the J-31/35. Individual WS-19A has smaller thrusts than individual WS-15A, but is made up for by having more of them per airframe (e.g. smaller-sized B-2).
To sum it up, all the options have their respective pros and cons to consider.
Then, it also depends on what the JH-XX's mission profile is more tailored towards. That is, is the JH-XX meant to be:
1. A fighter-bomber (i.e. JH-7-equivalent); or
2. A tactical/theater bomber (i.e. H-6-equivalent)?
On one hand, options #1 and #2 are more suitable for the fighter-bomber role. On the other hand, options #3 and #4 are more suitable for the tactical/theater bomber role.
So what do you guys think?
(One worthy note, though: Judging by Yankee's way of description, it does feels like the JH-XX is leaning more towards the tactical/theater bomber role than the fighter-bomber role. But that might just be my own observation.)