Depends on what you´d like to do. Most jobs in the industry don´t require a degree but great portfolios! :)

I’d want to design the covers, poster work, etc. Nothing involving the construction of the game itself - but the position I want is hard to find and doing research most of it is outsourced.

Portfolio. That´s what my researches taught me. They hardly care for degrees, they just wanna see that you can create kickass content. Make them sourcing it back to you! Good luck, I´m sure you´ll make it! :D