I was diagnosed with that, after a nerve conduction test - or something like that - many years ago. I get the burning sensation and numbness in that outer thigh area too, usually at night. It is very painful. When I touch the skin on my outer thighs it just feels odd and unpleasant and not like it does in any other place.
About 30 years ago a nurse jabbing me in the thigh following surgery and injured the nerve. I couldn't stand to have pants rub against the area for about 15 years. I thought that was the reason I had the problem because for the longest time it was just the one leg, but then I started to get the same problem in the other thigh too. I was diagnosed with degenerative disk disease when I was about 22, and then came sacroiliac joint problems so I figured that had something to do with the nerve problems in the leg too. .....everything is connected....
Also look into Iliotibial band syndrome, similar pain I think. The IT band can get tight and pain with radiate in that area, there are some stretches to help that. It's always nice to have a name for what is ailing you, hopefully you will get some help now.