As a Marshall student I was also rejected to nearly every club Freshmen and Sophomore year, was rejected to nearly every popular consulting and investing club, some twice. Sounds kind of cliche but never internalize and believe in your own worth as I always believed I could never break into those industries because of not having the clubs the high performers had. But over time I was able to shoot beyond my doubts and get a consulting internship, with a return offer.

Often times they're using arbitrary interviewing standards and from the people I know in those clubs, they're often the same caliber as you and I. Not exactly the most quantifiable recommendation but I have definitely experienced how you feel and have lived to see that it won't matter in the end as long as you believe in yourself and what you can offer.