What are some good ideas to reduce bow shine?

Johnson's Paste wax applied heavily and not polished out. It needs to be replentished once in a while but completely reversible by polishing out.

If you want something permanent try some rubbing down with boiled linseed oil and 0000 steel wool. It will put a dull sheen on the bow.

Put some limbskins on it.  They work very well and look good too!

Limbskins are cool.Face paint is an old trick,then just wipe it off when done hunting.