I have four portable setups.
The one with the LisaIII is an iMod, PV-Cap to Lisa III. I have used my JH13Pros with this set up and the punchiness and beauty of the three channel is all appreciated, but the noise floor is too high for me. LisaIII was never designed to be IEM amp. It sings with Ed9 and D7000 though.
The H120 to D10 has lower noise floor for IEM as does my H140 to Sonosax SX DA-2. They are my audiophile portable set ups for IEM. iPhone 3GS to IEM still rocks for noise floor and punch in many circumstances though.
In short, I wouldn't design a portable setup for IEM with Lisa III unless it was low sensitivity or high impedance.
I would use the LisaIII for mid or full size phones though. It can make Porta Pros and P5's perform but is overkill for them really.
Just my experience and thoughts.
Sceptre