Hip and back pain can definitely be related-but which comes first?
A problem in one area will soon affect other areas as the body tries to compensate. Muscles get tight and sore, joints move out of position, ligaments get stretched and so on.
See a good physiotherapist. Avoid doctors as they don't have the depth of knowledge.
Your Dr should have referred you to a physio, but they seem to avoid doing that.
Your physio will check all joints for proper positioning and movement, and can gently adjust as needed.
I'd avoid a chiro at this stage, though personally i go to mine very 3 months and over time he has been a life saver for me when my hip joints lock up.
So don't discount chiros at all. Horses for courses.
Avoid anti-inflammatories-they are bad news. Don't be part of the drug testing!
Take slow release paracetamol-this was originally designed as an anti-inflammatory, though it's now not classed as one , and is the only one I use now.
Keep going until you find the right one who can find out what is happening. May take a few attempts, and ask questions!