tsuwm probably has it at the tip of his mouse, but some suggested Latin words to form a word (we really could use one) if necessary:
Irony
cavillatio -onis f. [raillery , jesting, irony]. Transf., [a quibbler].
dissimulatio -onis f. [a concealing , dissembling], esp. [of irony].
inlusio -onis f. [irony].
inversio -onis f. [irony; transposition; allegory].
ironia -ae f. [irony].
Deaf
obsurdesco -descere -dui [to become deaf; to turn a deaf ear].
surdaster -tra -trum [somewhat deaf].
surditas -atis f. [deafness].
surdus -a -um [deaf; unwilling to hear , insensible; not heard, still, silent]; of sounds, etc. [indistinct, faint].
tundo tundere tutudi tunsum and tusum [to thump , pound, strike repeatedly; to deafen, importune].
I would go for something like ironisurdity or inlusisurdity.
