Then insist on hot climate uniforms
When on the maintenance apron, I switched to shorts two weeks ago, and I wasn't the first one around the apron. However, sometimes after maintenance it takes quite a bit of effort to wash various grime, grease and various "aviation perfume" off the arms and legs, so I am thinking of those full-length military uniforms specially designed for hot climates (e.g. wind-permeable tough netting over silk underwear). These may work in your case, too.