Problem with my eye: what kind of doctor?

I’m not sure it’s actually an eye problem. I do know enough to go to a doctor, but I’m not keen on making two or three $25 copayments until I get to the right one. My primary care doctor is an internist. Fluther helped with this kind of question before, when the answer was podiatrist and not orthopedist or neurologist, so—here’s hoping.

Symptoms: About 2 weeks ago, maybe 3, I started noticing tenderness below my right eye. It seemed to be on the edge of the bone. So I couldn’t tell if it was actually at the bone, or in the soft tissue of the cheek on top of the bone, or in the eye socket behind it.

The tenderness has gradually increased so that by two days ago I started calling it “sore,” though not markedly so. The difference was that it was noticeable not just to the touch but even when I didn’t touch it. And there seemed to be excess crustiness in the morning.

This morning the area beneath the lower eyelid—again, meaning below, not within—is noticeably swollen, and there seems to be some redness on the rim of the lower eyelid.

I’ve never had anything like this before.

Complication: I’m out of town for the week, but still within driving distance of home and my usual medical services. Shall I make the trip back to see a doctor right away, and if so, which one?

Thanks for all knowledgeable advice.