Lots of useful books and pamphlets written over the years with
coverage, for background info. Stuff like having adequate space for
airflow behind/under whatever heat-shield you use.
Main thing is to ensure that all flammables stay below about 200 deg F.
If your stove has acceptable infrared blocking on underside, this may
simplify things for you, since the bricks would not be the protection
for flammables below. Pass mfg specs to building inspector and see what
his safety requirements are.