There's no reason Shumway couldn't do sound synthesis on today's Web Audio API.
Start from scratch.Use WebGL and emscriptem.Write a flash like IDE that uses C++ or a safe language that compiles with the LLVM toolchain.Make flash without flash,backed by webtechs instead writing an emulator or that's just cargo culting.
Flash got a lot of things right, both the SWF file format and the authoring tools are pretty good. There's not much sense in re-inventing it (we could do without ActionScript though).