Both would be fine.
Wrestling there is no gi so if you are in a warm climate pretty much ALL your techniques need zero modification.
In colder areas you can do the Judo with no modification because people will have jackets and thicker shirts on.
But even in colder climates you can still use the same wrestling moves, because no jacket required.
I dont think you could go wrong in either case, but if you are studying for defense purpose make sure you go over some no gi tie ups in your Judo class.
The one thing I think wrestlers do better than anyone is scramble on the mat..
Here is a scramble drill for you guys to work on..
YouTube - Barry Davis Wrestling Scramble Drill
YouTube - longest wrestling scramble ever
and of course takedowns, this is a tried and true HL clip. Plenty of clicnh work here.
YouTube - Chechen Wrestling Highlight
Also in comparison, notice how the wrestlers still wrestle after a big throw (usually) ..
Here are some Judo HL's just to be fair..BTW you wont come close to being this good in either art without years of training.
YouTube - Judo HighLight Reel
And yes they are both sports....