I would hope you would salvage the woodenware. If you scorch the inside of the boxes, there is almost no chance of getting AFB again by using such equipment. There is one study, that suggested even the spores on the inside of the boxes, will not be enough to have it outbreak. Although I'm not suggesting anyone do that. But I would suggest scorching the boxes, bottoms, tops, etc.
AFB is almost always attributed to frames and comb, as the concentration of spore levels have much to do with AFB outbreak.
There is a real good chance, if as you say, you catch it early, (Like finding a few cells on one or two frames) and removing those frames, you will not even see AFB again.
All hives, by some studies, suggest the spores are in about every hive. (Kind of like the CCD samples now showing chems in all samples tested by the mere fact of foundation being used) But two things must happen....1) A certain spore count normally must be achieved in the cell for infection, 2) and the right conditions must be seen.
I will burn any hives being found with AFB. As a nuc producer, I can not take the risk of infecting or giving others AFB. But I have helped others, and found that burning the entire hive in most cases was not needed, unless full hive infection was apparent. And unless you are burning the whole yard, you no doubt have the spore in the other hives anyways.
You kind of know when the whole thing should be burned. And I find many who find AFB early, like a few cells, much more open to less drastic approaches. Many times, with success.