Perhaps some technology would help here ... put an ethernet 5-port hub in the house and in the shed, and run an UTP cable from the house to the shed. This extends internet and LAN connectivity to the shed. The high-volume printer stays in the house, but it is ethernet-connected to the shed's pc.
Most laser printers have ethernet ports these days, and have software that includes a printer monitor (shows status, health, etc.) ... you can easily control the printer in the house from the pc in the shed.
At the shed, you would size the solar for a much smaller load of a computer system (pc, monitor, ethernet switch, ups), lights, & fan. The UPS keeps everything computer-wise running if solar glitches a bit, while you save your work.
With the above setup, you might now fit on a single LiFePO4 12v 100Ah battery, inverter, mppt, and associated solar panel. Possibly utilize 12vdc lights & fans, running directly off of the battery, and 120vac off the inverter for the computer system.