Back from when I did track prices:
3x13 b/o metal piccolo excellent original $338.00 2 bids eBay 29-Jun-05
3x13 metal 70s bo $262.00 10 eBay 1-Apr-06
70s b/o 3x13 piccolo 1682594 some cup washers gone inside $153.50 11 eBay 21-Jun-06
3x13 metal Ludwig piccolo in poor shape $201.99 23 eBay 19-May-07
Ludwig piccolo 3x13 metal 1971 $267.62 3 eBay 7-Nov-07
Ludwig 3x13 Metal Piccolo KS675787 1967 pristine $512.00 11 eBay 20-Mar-08
Ludwig 3x13 Metal Piccolo KS482016 1967 pristine hazelshould was this maybe a 68? $615.00 17 eBay 29-Mar-08
Ludwig Piccolo metal 3x13 b/o 1289587 $300.00 1 eBay 25-May-08
Ludwig 3x13 b/o piccolo rounded badge exec cond all orig 142991 $700.00 19 eBay 15-Feb-09
Ludwig Piccolo 3x13 ks625402 $406.61 31 eBay 15-Feb-09
Since then the GFC hit things changed, although some rarer drums didn't have the same price drop as others. Based on the number of Piccolo sales you can see they are (were?) not coming up all that frequently. Once or twice a year. Not as common as the jazz combo.
I can't get the fields formatted nicely here, so ask if anything isn't clear.
Note that the $300 and up are in excellent condition and/or specially interesting (like a keystone badge one which is very rare) and/or sold by Hazelshould (who is a top seller and gets top prices) or similar.