Why don't we have proton/neutron microscopes?

It seems that proton microscopes exist

Recently a new high energy proton microscopy facility PRIOR (Proton Microscope for FAIR) has been designed, constructed and successfully commissioned at GSI Helmholtzzentrum f\"ur Schwerionenforschung (Darmstadt, Germany). As a result of the experiments with 3.5-4.5 GeV proton beams delivered by the heavy ion synchrotron SIS-18 of GSI, 30 um spatial and 10 ns temporal resolutions of the proton microscope have been demostrated. A new pulsed power setup for studying properties of matter under extremes has been developed for the dynamic commissioning of the PRIOR facility. This paper describes the PRIOR setup as well as the results of the first static and dynamic proton radiography experiments performed at GSI.

Neutrons being neutral are harder to control, but as the link RobJeffries gives in the comments shows, neutron microscopes have been demonstrated.

We have demonstrated a prototype neutron microscope, which uses magnification-4 Wolter mirrors, with samples and a detector aligned at the mirrors' two focal planes.