jonah the tires dont get balanced so forget about it.
now if you do it thats another topic.
tires are sold mounted and trued.
you could purchace foam dounuts which are rough cut you'll have to do the prep work and mount and true to size.
as far as chunking generally you dont use them to race but keep them around if they arent that bad use them for practice or wait till you chunck another and match it up with the unchunked tire.
as far as the glaze basically whats happening is the rubber is buffing and that happens due to friction across the carpet. tires dont get hot enough to melt.
take soap and water or lighter fluid to clean the glazing, DO NOT LIGHT IT ON FIRE! DO NOT LIGHT IT ON FIRE ! DONOT LIGHT IT ON FIRE!!!!! if you do your an idiot! and deserve the outcome
another thing you can do is take motor cleaner spray it on a rag and clean the tire in a scrubbing manner.
glazing is normal on the foam tires and it does happen to rubber on carpet the difference it rolls to the outside edges on radial tire. good luck!