Look into Linear Tube Audio Z40 and Ultra linear integrated amps. They have a headphone out and the option for MM/MC phono as an add-on.
Integrated Headphone amp with moving coil phono stage
I am moving to headphone only listening and just sold off my integrated amp. I would prefer to get a single unit headphone amps and moving that includes a moving coil phono stages but and balance control, but can't seem to find anything that matches.
Does anyone know if this exists?