Go to a doctor as there are often many problems that it could be.
Pain in the epididymis could be epididymitis, which is an infection. However, I don't think it causes burning or painful orgasms.
Variococele also can cause pain in the teste, epididymis, and veins. But again, your other symptoms aren't in line.
Really, i'd go to a doctor no matter what. It's nothing to be embarrassed about and it's better to know you've had a professional consider all possibilities and diagnose the proper one. I often personally prefer non-western treatments though. As many western treatments aim only to treat the symptom. Temporary treatments however aimed at a specific cause, such as antibiotics I don't specifically mind using western medicine. However, I usually supplement with some natural antibacterial/immune enhancing supplement. And of course follow up with probiotics to replenish the beneficial bacteria that the antibiotics also killed. I just find that so often western medicine does not treat the underlying problem or they're too quick to recommend surgery. I've had many problems where the only western treatment was surgery, but instead I treated them successfully with vitamins and/or herbs. Sorry, I went off on a tangent there. Sorry I couldn't be of more help.