Subject to the CPU or MCU not using dynamic logic, you can slow the bus accessing ordinary EPROMs like the AT27C256R right down to DC though you may encounter data retention problems if you cycle it slower than 2 nHz at elevated temperature!
However that needs to be done by the processor - its *NOT* something that can be done at the EPROM socket
You need a comprehensive datasheet with bus timing diagrams for the AN80C196KB MCU. Its likely that it samples the data bus after the instant /CE or /OE goes back high or one of the address lines changes, and the faster EPROM's data hold time is too short for the data to still be valid at the sampling point. It could also be due to differences in output drive strength and/or logic levels. Once you've established what's going on, *if* its a timing problem you *may* be able to patch in a monostable to stretch one of the control signals to hold the data for longer. If however its an address line changing early, or signal level/strength incompatibilities that cant be alleviated by a simple pullup you are most likely S.O.L!
Adding series resistors to reduce ringing is a PITA, best done on a daughterboard if you aren't certain it will be effective. Also your probing technique needs to be exemplary, especially minimal length grounding, and you probably need a high bandwidth active probe to be reasonably certain any ringing isn't an artifact of your probing technique, and that the probe isn't damping the glitch you are looking for.