Excellent synergy with our intrigue abilities and their trait would be very valuable in pursuit of the throne, but I sadly I don't think the focus on cyber and drone warfare fits this Lelouch as well as it would canon.
Personally I think he has the most interesting backstory of the three.
His focus on the civilain side of things could be a good way to start getting our name out there to the public eye. The focus on manned vehicles could be useful for creating better airframes, and cybernetics can do amazing things in coded geass canon. Wide scale cybernetic prosthetics would also be a very significant achievement in both the military and civilian sectors and would boost Lelouch's profile significantly.
The trait also seems like it could significantly reduce the cost of a number of his learning actions.
Cons: Less military. Do not use his stuff in a miltary context without him knowing about and ok'ing it. He's blown up bases before and he now has a psycotic assistant who would doubtless take offence.
Synergises well with our existing psyonic focus, including the focus on archeology. Trait is useful for pushing the type of research we want without having to get buy in from the Britannian establishment as a whole.
Cons: Long lead time to get anything that will put our name on the map or generate independant income. Will probably have to purely self fund a lot of projects, driving up costs.
Not sure what we could do with astrophysics.
I'm going to vote for Dr. Hugo Zhishi, partly becasue I find him most personally interesting. Dr Kenshin Jager is also a good pick though.
[] Dr. Hugo Zhishi
EDIT: Unfortunately not going to win. So I'm going to have to throw my vote behind the option which might one day give us psytech ninja.
[X] Dr. Kenshin Jaegar