Good point on the bi-furcated exhaust. The yellow F-18 single has flown successfly many times on P-60.
Unfortunately, Yellow doesn't make an ARFof it anymore, but if that 18 can work, surely an F-15 of the same size could work. I think the wingspan was like 46" or something length of 60 ish. Not really tiny. My tam 1/12th is tiny!

I had a nitro ducted fan F-15 (top gun) for my first jet. Ithink that size would be perfect but I'm pretty sure they went out of business.