I have the other version of that case, the one that just holds the driver and a good selection of bits, and to be honest they are nothing special, though I know it's the best way to store the drivers without damage.
Have you considered making your own out of softwood? A few small strips from a DIY store, maybe some ply for the lid and base, and panel pins to hold it together! You only need a saw and small plane really. For holding screwdriver bits I drill a block of wood with holes of the appropriate size, then glue and pin it in place!
I've made up quite a few over the years, sometimes complete boxes, sometimes just fitted trays for bigger boxes I've acquired. I usually take the trouble to sand them down then finish with coloured varnish! I colour code according to Metric / American / British Standard but there's no reason why you can't go for bright red and have a much nicer box than Snap On currently supply!