Are you in Georgia like your name suggests?
Here's one, but they don't mention cost. (They came up when I searched free STD Clinics Georgia, though. Call before you go.) https://someonecaresatl.org/clinic/
Here's another - https://www.aidatlanta.org/page.aspx?pid=316
If you aren't in Georgia, or aren't near Atlanta, let me know and I can help find something for you. Feel free to send me a PM if you don't want to share it publicly. (Click or tap on my name and then choose "Send Message" at the top right of the page.)
No, it isn't pointless. It won't tell you if you got herpes from this particular guy, but you know that at least before you didn't have it. If you test positive later, you have a better idea of when you were infected.
Has a doctor seen your rash/cut? Tested you for other STDs? I don't know exactly what you did with the guy, was it protected, or your gender, so it's hard for me to say what your risk is. Loads of things can cause your symptoms, from fungal infections to infections to allergic reactions.
If you haven't seen a doctor, now is definitely the time. If you did see a doc, what did they say?