When I've had to record piezos (or deal with them in a live context) modelling an amplifier isn't where I'd start. I,d go for treating it like a different kind of microphone that has a frequency and volume response curve with ups and downs like your favourite mountain range.
Piezos tend to have a very bright, hard output with a bit of a "stick being dragged across metal railings" quality thrown in. They pick up what you'd hear if you pressed your ear to the instrument where the piezo is. It can also make quite a difference depending on the make and quality of the piezo itself and the preamp.
I'd start with the eq on the instrument, if it has any, and try and get that sounding as good as possible through the monitors. Then add compression and further eq, looking for the harsh spikes and reducing them. Dragging a narrow eq band with a lot of gain on it around while playing back some recorded audio helps. Where it sounds worst is where you should consider cutting. Adding a tight reverb with a low pass filter set to take off the harsh treble generally helps.
One of the new Anderton plugins is designed for piezo pickups, I've not tried it but you might find it worth trying as well.