Hands up, real quick, everyone who would NOT like to hire a reasonably competent developer, who actually understands what marketing is asking for, and is capable of coming up with a satisfactory solution & deploying that solution in time for it to actually help with the goal marketing needed it for.

You might end up bouncing off a few more HR firewalls, but those are mostly not the places you would be happy working anyway. Your goal in finding new gigs is mostly to bypass HR until they've been given an instruction to walk you through your hiring paperwork.