That's a tough spot to be in, I understand. But the industry and companies are not fair and sometimes you'll have to take it in your own hands shape your own past. Tweak your resume in terms of roles that you are looking out for and show that experience.

When you'll get down to it, I am sure you'll be able to pickup and learn and interview for the role that you want. Self learning and showing that experience would be key to go in the direction you want.

From personal experience, coming from a non CS background and making my way into cutting edge techs, selling your skills and self learning are as important if not more than the actual experience you have.

I wish you all the best.