At a 1/5 scale, this plane has a 56.4" wingspan, figuring composite construction I'd guess we're looking at about 12-20# (depending propulsion).
At this scale the engine pods are 3.35' at maximum diameter. A JetCat P20-SE is 2.4" in diameter and so will fit. two of those will put out 10.5# of thrust, so if I can keep the weight down and still use realistic weights for components this combo will work.
However, two of these puppies can suck 7oz of full per min at full power, so with a 40oz tank (3.25x8x4"), we'll only be looking at about an 8 min flight. I may be able to fit a 60oz tank (3.78x8.5x4.49") and keep the cockpit detail, but it could be close.
Checking into an electric option, the biggest EDF unit that will fit is 70mm (2.7"), but even with a super hot motor two of them will only pump out about 6# of thrust. So I don't figure an EDF is a viable solution for this plane.