Badge would be cool! Unfortunately Elite Plus Commanders won't ever achieve such badge other then in a form of image in a game after Elite promotion (see my Avatar).
I believe that required considerably fewer kills (although I ain't certain, it would fit with my experience of Elite Plus).
In Elite Plus requirement for Elite rank is 1000 or more hit points, which is sad. Being worthy to be considered Elite must be evaluated someway else. I set myself par to 1000 or more achieved hit points made during single flight without pauses or game savings.
As far as I know the current world record time for achieving Elite status from the start of the game at Lave in Elite Plus is
2 hours 43 minutes (Youtube-Video) made and recorded by me. As long as nobody has made it in shorter time without any kind cheating during single game session and providing sufficient proofs that happened, I can consider myself The Elite in Elite Plus.
Also, I managed overflow hit counter at 65536 Hits and get second Elite Promotion in my 12 years long flight (Commander Nothoria Infama), so I should have now 2 Elite badges. But, because I've been very bad ass pilot all the way my career (Pirate/Bounty Hunter), GalCop won't consider me eligible for a real badge.
I expect my 3rd Elite Promotion around 132000+ Hits and 4000000-4300000 played Credits. It will probably take few years of flying (= several hundred hours of game play as if concentrating for piling more kills it takes over 2 hours to make 1000 hits).
...Currently wandering around Galaxy 3 (3rd or 4th time), systematically visiting and surveying every single system on a Galaxy Chart.