Safta,
The only way that we could have recovered would have been to apply extensive nose down trim during the initial recovery.
I also did a similar recovery in the sim recently. The lack of elevator authority is well documented and TOGA + full down elevator + nose down trim is the only way to go if you're that close to the ground. I still can't see why some recommend thrust limitation as a substitute for nose down trim. I'm sure that everyone gets to see this during initial type conversion.