In a context where a maiden flight would occur on short notice (say 3-6 months), it might be powered by a Russian engine, probably D-30KP or a close variant. I don't see a Chinese high bypass turbofan engine ready for use. And They have been very cautious about putting a indigenous engine on their first of their kind prototypes, especially with a crucial plane like this. This is a strategic item already.
D-30KP (D-30 without after burner) is still a low bypass engine even though its diameter is much bigger than AL-31 or WS-10 etc.
I don't think H-xx will use D-30 variants because its diameter is too big. D-30 started as power plant for Mig-31 which is unique in its exceptional high speed. All other jet fighters have much conventional thrust level, be it US or Soviet, like F-15/14/16/18, Su-27.
If H-xx is something similar to B-2, it would be 4 AL-31 or WS-10, similar to B-2's 4 F-118 (non after burning F111). Two D-30 would be too small, three or four would excessive.
Besides, H-6/Tu-16 and Mig-31 can tolerate the huge size of D-30 because they have big fuselage and much thinner wings. Their cross section area is acceptable. A flying wing design with a huge engine will require the wing/body to be very thick, increasing cross-section and drag.
That is also why the CGI with 3 engines is relatively reasonable, because it allows a flying wing in the size smaller than B-2 but larger than H-6, which is probably also the size of B-21, a size of appropriate to Chinese need which IMO is nuclear/conventional deterrence somewhere around the middle of Pacific ocean.
Two engines of D-30 class would provide similar thrust to the smaller-than-B2 H-xx, but the size/cross-section is still a problem.
If the engine is AL-31/WS-10 class, then non-afterburning WS-10 is ready enough to be on H-xx, even the first prototype. The problem of WS-10 not on J-20 and J-10 is WS-10's less responsiveness than AL-31, a critical requirement for fighters. But a bomber does not need that. Without that requirement WS-10 is pretty mature.
