It's STR. Go strong. The DEX you need will come on gear eventually. In raids I sit at capped STR without activating Strong, but I wouldnt be capped without it, So I am going Strong for my trait again (on Ogre).
Deep Elves while cool have terrible stats for Monk.
Base DE vs Ogre = -6 STR, -4 STA, +1 DEX, +4 AGI.
Dump all your points into STR on the ogre and put the rest in DEX and call it a day. The racial is also no contest for 90% of what you will be doing as a Monk.
This is purely off of min/max which isn't the biggest deal.