I'm not fond of the designation Lightning 2 particularly - hence on this site at least Dave is popular. For an aircraft that hovers, sticking to a bird of prey is good but all the hovering ones (Kestrel, Harrier and Osprey) have already been used.
Matching decent names to aircraft does seem to be tricky, whilst I like the nod to FAA history the name Avenger for the King Airs at Culdrose is somewhat at odds with the role.
For RC-135 perhaps some sort of vulture would have been appropriate...