I would not recommend a chiropractor because they do not have access to a modern MRI, and the x-ray is obsolete insofar as evaluation of sciatic disorders.
Usually it is best to rest and take off from work for a few days, as these episodes often "flare" and then diminish. But there is no substitute for an MRI, preferably a 3T MRI.
Kepping your legs elevated may or not be appropriate. You have to wait until you get the MRI and then follow the recommendations of the physical rehabilitation specialist.
I would see a chiropractor if I were you. I have a pinched sciotic nerve in my back that causes both of my legs to be weak and go numb, and have actually passed out from the pain. Keep your legs elevated as much as possible and take it easy. I'm not a doctor but it sounds like what I deal with. Usually if your legs are going numb, it is a spinal problem.
It depends if the pain is in the hip of the "cheek" of one side of the but.
The liklihood is you have compression of the sciatic nerve.
Don't waste money on an x-ray. You require an MRI of the lumbar region (L1-L5) and an appointment as soon as possible with a rehabilitation specialist who will demonstrate several exercises you must perform every day to reduce the swelling. The sooner you see a rehab specialist the better. This condition will not improve with ice-paks or ibuprufin. The money spent on this specialist will be the best money you ever spent.
Keep well hydrated, avoid any lifting and purchase an inflatable cushion to sit on while on a bus or train.
Eventually you may have to undergo surgical decompression, with a procedure called a laminectomy. If so, go to a surgeon that does a lot of them.
This is a lower back problem that occurs when a nerve that goes through your buttocks to your legs is irritated. It is generally referred to as sciatica. For quick relief take anti-inflammatory medication and place cold packs on the lower back. Never use heat. This will increase the swelling and perpetuate the problem. If you get no relief see a doctor.