If it goes away when pressure is applied, it might be trigger points. Find a physio who does dry needle therapy and see if that helps.
I would much recommend dry needling, it's not the same thing as acupuncture.
I'm pretty keen on dry needling of trigger points, given how many things it's fixing for me. But I'm wary of seeming like a new convert -- I think people should consider it as one possible cause of pain, often undiagnosed because it's not a commonly taught concept.