I don't have any suggestions regarding another adhesive tape as I'm in the same position as you. The thin glad wrap type square dressing for ports, micropore, elastoplast (both the pink and the white), and others I don't know the name of, I come out in red and blistered skin. Could you perhaps be strapped firmly with crepe bandages, with smooth dressing underneath, (like the surface of those little square or round makeup remover pads), to avoid the crepe bandage leaving a bumpy imprint on your skin. That bandage could then be strapped closed with whatever, as it wouldn't be in contact with your skin?