Rolling dice and counting results that were not kept

Hello! I'm running a game that keeps 2 dice out of a mixed pool (d6s and d10s) for a total. The leftover results have special results if you run 6s (or higher) or 1s. I can't figure out a way to make this work as a roll20 roll (I mean, the first part is easy - /r {Xd6+Yd10} - but the rest looks impossible) let alone put it in a character sheet. Can anyone help me?

There probably isn't a way to do this without an API script.

Thanks for the reply, Aaron! Do you know how would I go about doing that as an API script?

My approach would be similar to the BashDice, CthulhuTechDice, MutantYearZero, WildDice and ZombieDice scripts I've written in the past.  The basic idea would be to have an API command something like: !md 2 3 where the arguments are the number of 6s and the number of 10s to roll.  The script would then generate the rolls and do the categorization, then report them out in a nicely formatted message. 

Thanks a lot!

If you're familiar with javascript, BashDice and WildDice would be pretty easy to modify for this.