There’s an enormous bulk of literature on Pharao’s Ant research; see this review and particularly the numerous references:Hyperlinks sind nur für registrierte Nutzer sichtbar
This review doesn’t even cover all published papers, though, and I ask how much of this literature you may know.
Keeping them isn't a problem; I have reared the species for several years, for research, in a Zoological Institution. I was lucky when we had finished our studies and I could destroy the colonies (with boiling water). Fortunately they didn't escape from my particularly safe formicaries.
I strongly question that a private keeper can do any useful additional research on M. pharaonis
. What remains is the extremely risky “playing with the fire” if you take them home. So, good luck!