I don't know about that-- I've been nerding out over the top 7000 names given in the USA last year-- there were 5 Regals, which seem almost "normal" compared to the 9 Royaltys, 13 Majestys, 6 Majestics, and 8 Kingdoms!
I guess if I really wanted to emphasize the long "e" part, I'd spell it Reegan or something. That doesn't look to bad, actually. For some reason I like it better than Meegan.