This is what the Vox VT series amps are. IIRC it goes:
Single Tube Preamp -> Digital MultiFX 1 (Noise Gate, Tuner, Compressor, RangeMaster, Tubescreamer, OD3, etc) -> Digital EQ / Amp Modeler -> Digital MultiFX 2 (Harmonic Tremolo, Chorus, Delay, etc) -> Digital MultiFX 3 (Reverb) -> Class D...