What you are describing sounds like what happened to me.
I used a product called Shock Rite to condition the water. I was using bromine tabs for sterilization of the water.
I discovered that I was breaking out in a massive rash and scratching myself to bits shortly after being in the spa.
Turns out that the Shock Rite contains a chemical called potassium peroxymonosulfate. This is also accumulative and does not disperse like chlorine or bromine do.
I drained the spa, refilled, dumped in the bromine tab and a handful of Bicarb of soda and the problem immediately went away.
I dumped the ShockRite so I'd never be tempted to use it again.
Try this and see how you go.