Well I typed this this morning and forgot to hit submit before heading to work. Eklik covered some of it already, but anyway:
Having never actually used the RRA tactical carry handle personally, from the photo it looks like you'd have no trouble actually mounting the EOtech on it and it would be usable (albiet a bit high above the bore). Unfortunately, it looks like the base of the EOtech will totally obstruct your iron sights. I'd reccomend either:
A. Remove the tactical carry handle and just mount the EOtech directly on the upper and get a flip-up BUIS.
B. Sell the tactical carry handle and get the RRA dominator. This will put the irons in the lower 1/3 and will make switching to irons even faster than a flip-up.
C. Sell the tactical carry handle and get the LaRue Eotech mount and a BUIS. This will afford the most flexibility, but is more expensive than the above two options.