.getConfiguration should also give you the param values, but I think it will only give you the overriden parameters (not tested), not true, you can get the parameters via the parameters key, even the ones not overriden.
However, something to consider - there are many times that I need to display the parameters of and instance in a template that is built for that UDT. I have made it a habit of having a "param" folder in every UDT that simply has one tag for every parameter and binds to each one. Then you just read/bind it like any other tag.