SET amplifiers with more power been have produced by Cary and VAC using the exact method you mentioned. By running the tubes in parallel. Vaic/KR have produced tubes with more power and I believe there have been some KR amplifiers with higher power ratings also like around 40 to 50 watts.
Manufacturers of SET amplifiers have told me the transfomer is most important.
Manufacturers of SET amplifiers have told me the transfomer is most important.