I've got a Keithley 2700, bought used several years ago, and it's worked fine, for occasional hobby use, up until today.

The meter was measuring about 5VDC sourced from a wall wart, and when I looked at the display, it showed something like 315V then displayed ----.-- (or something like that). I power cycled the meter, and now it reads something (but wrong) in DCV mode. For a 1V input, it reads about 0.2V, and for 2V input, it reads about 0.4V. On power-up, it does not display any errors. From what I can tell, this unit doesn't have any self-test other than for EPROM, RAM, display, and front panel buttons. Those all pass.
I have the case opened up. There aren't any obviously bulged/leaking capacitors or burnt components. The date codes look to be 2004.
Where should I start with troubleshooting this thing? We're getting into ESD season here in the US, so does that suggest any starting point?