If you quick recorded the midi, the style used will be recorded in the file. You can use MidiPlayer to identify it. And then you can try all the OTS settings to see if there is a match.
Otherwise, the information on the sound is all there in the recorded midi. Just look in a sequencer under the channel used for the right hand voices (1 or 2). Decoding the sysex is harder and you may need CasmEdit, MidiPlayer or Style Dump to do it. Setting up the instrument with the same parameters will be more time consuming unless you get lucky and can discover which OTS was used.
But you probably can use this midi to recreate the sound without looking up all the settings. Load the midi into your sequencer and remove the note events. Then record what you play using the 'stripped midi' as the file. Have local set to Off on the PSR and have the sequencer echo what you play to the midi out. It means starting and stopping the sequencer, but it might be quicker.
Regards,
Michael