Utilize the achievement system. Make it so that we have to obtain all the gear from locations such as the labyrinth, sycrus tower and swallows compass and then present it to an npc to get an achievement containing a coffer of the same gear.

Which will then also sell the coffer at the calamity salvager.
It worked for the Makai gear.

Not exactly a log, but it will let us collect all the glamour without having to decide what to throw away because we are out of space.