Just a regular physician. No health care, so I try to cover all my ailments in a single visit once a year.
I always forget about healthcare system and costs of specialist when dealing with non-Belgians.
First of all, showering or scrubbing 4-6 a day will not improve anything, it is just worse for your skin as you are dehydrating your skin by removing essential oils for the skin.
Secondly, I would start testing another laundry detergent, it will be cheaper to test then buying new clothes. Look for some hypoallergenic detergent and try it.
Otherwise I wouldn't know, I'm not a specialist. I had some rash after I moved to another city and the municipal water wasn't the same as I was used to. I tried a filter, which helped, but the best thing was some moisturizing oil after a shower. I had a dry skin and where my clothes had the possibility to shave, my skin would get rashes.
Edit: Also my wife changed all shower gels to biological ones (weleda is the brand), this also made it better for me.