Is there a word that means 'deliberately ignorant, choosing to ignore the facts'?

I don't know about a single word, but what you're describing sounds like willful ignorance or willful blindness, described by Wiktionary as

A decision in bad faith to avoid becoming informed about something so as to avoid having to make undesirable decisions that such information might prompt

An expression of the ostrich effect is bury one's head in the sand, hide one's head in the sand; have one's head in the sand:

Fig. to ignore or hide from obvious signs of danger.

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In this particular case the phrase in denial seems appropriate:

in a state of refusing to believe something that is true.

Mary was in denial about her illness and refused treatment.

You could say he's got a three wise monkeys attitude (speak, see, hear no evil)...