So, I found this (which works)
=MATCH(B3,LARGE(IF($A$3:$A$11=A3,$B$3:$B$11),ROW(INDIRECT("1:"&COUNTIF($A$3:$A$11,A3)))),0)
Which does exactly what it is supposed to.
Great.
I read somewhere about adding a random number to a list to force a ranking -- but when I do that, the random number...