SS preamps with two XLR inputs and at least four outputs [two of them XLR]

Must it be SS? If not, check with Ralph, username atmasphere, who is a manufacturer who frequents this site. His Atma-Sphere MP-3 almost gets you there. I Know he can add another XLR output, but I don't know if he can add two additional RCA outputs along with it

FWIW, the McIntosh C50 features 2 pair of XLR inputs, 7 pair of RCA inputs, 1 pair of MC RCA inputs, 1 pair of MM RCA inputs, 3 pair of XLR outputs, 3 pair of RCA outputs and an RCA external processor loop (1 pair in + 1 pair out).  There are also 5 digital inputs:  2 TOSLINK, 2 SPDIF and 1 USB.  XLR and RCA inputs (except phono and processor) are all user-assignable.

Sounds to me like that might cover all your bases and then some.  C47 and C48 are more compact alternatives that also offer 2 pair of XLR inputs and 2 pair of XLR outputs along with multiple RCA I/O pairs.  If you want to add HT capability, MX135, 136, 150 and 151 also meet or exceed your minimum numbers.  The MX range is physically quite large, though.

All are more-or-less readily available used.  Surf around and you'll for sure find what you want.  Good luck and happy hunting!

 The mackintosh C 47 has all the XLR inputs and outputs you require .I may be willing to sell mine.

 The mackintosh C 47 has all the XLR inputs and outputs you require .I may be willing to sell mine. Also has I believe 2 Toslink, 1 SPDIF , mm/mc 3 or 4  unbalanced inputs. It has very good DACs. Does not support MQA.C