(NOT in any manner making fun of the OP, but)--->
I just literally LOL after reading the HILARIOUS statement she writes: "...six horses and two carrots..." It brought this imagery to mind like..."Holy CRAP! THIS ratio is NEVER going to work--Arghhh, run away!!!"
Sorry...as for hand feeding, I agree...on OCCASION, but never expected, and never to reward the same behavior day after day or it becomes an expectation which can grow in a VERY pushy horse(s) for SURE!