I used to have to go barefoot for squats and calves becasue I have such high arches in my feet and I couldnt get a good feel of suport from any of the shoes I'd wear. I recently came across some shoes by a company called Ecco and they are the best, most solid feeling trainers I've ever tried. No springy feel to them just a molded and solid feel on the foot.
Their website is
www.ecco.com. Look under "sport" shoes..I bought the Receptor Phaeton with the rubber toe.
BTW, NO this isnt an advertisement I'm just really impressed with their shoes as I've had a hell of a time finding solid support for my feet.