Too qualified for entry level, not qualified for anything else... What positions should I consider?

So I'm in the process of interviewing and applying for jobs but so far, I haven't had any luck and I'm looking for some perspective.

Some background about me: I've recently graduated this past May with a BS in Computer Science. I've been interested in cyber security since my third year so I've gained some experience with networking, cisco, Java, python, windows, linux, bash, and even assembly. And I've had several internships that have exposed me to things from automation, vulnerability management and exploration to even cloud services. I also work on some machines on Hack the Box and I've also recently obtained my net + and sec+ from CompTIA. And yet, I can't seem to find a job. I'm only 22 and I only have about 1-2 years of experience over all.

With my experience, I get turned down a lot from help desk and similar positions. I've asked and the response is that I probably wouldn't stick around for too long. And when I apply to junior roles such as jr. Sys admin or network admin, I'm told to start with help desk. I've also applied for entry level analysis positions and have been turned away for not being experienced enough so my question is, what are possible roles that I should consider? And what are some skills that I should pick up in my "free time" to look a little more appealing?

Your opinions and comments are welcome!

Update: Heres a link to my resume. Any and all constructive criticism is welcome. But please keep in mind that I am no IT guru nor am I a resume Guru. So if you have nothing helpful to say, then please refrain from saying it.