'Overlook' in the sense of forgiving, or letting something slide. All the
words I can find that seem to be very close in meaning--
大目に見る、不問に付す、聞き捨てにする、罷り通る--don't seem to be used in conjunction with にくい (or
づらい), which is something I really want to use to get across that it's hard but
not impossible. The closest thing I can think of is 許しにくい, but it lacks the
indirectness and slight scorn that comes with the other verbs.

Context: "His actions are getting increasingly hard to overlook."
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word-choice
How do you say "hard to overlook"?
I agree that "にくい" and "づらい" are somehow somewhat incompatible with the
phrases you suggested. I think the suffix "-難い(がたい)" fares a lot better with
them (大目に見難い, 不問に付し難い, 聞き捨てにし難い, 罷り通し難い).

Also there's an idiom that captures the whole "hard to overlook" sense, which
is: **"目に余る"**. Using this expression, we may say something like:

> 「最近の彼の行動は日増しに目に余るようになってきている。」 Or more tersely, 「彼の最近の行動は目に余る。」
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You could nominalize a word meaning "overlook" and then say that that is
"getting more and more difficult" to do that.

Maybe something like this:

> 彼の行動を **大目に見るのは** 段々難しくなってきています

  * 大目に見る may have the connotation that you are have some authority over 彼.

> 彼の行動を **黙って認めることは** 段々難しくなってきています

  * 黙って認める could imply that you have been purposefully not speaking out until now but it has been bothering you for some time.

> 彼の行動を **無視するのが** 段々難しくなってきています

  * 無視する may imply that you have been trying to ignore his behavior for a while.
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If you wish to use the word that connotes the meaning of 難い for you to be
difficult to look over, you can say：

「許し難【がた】い」、「度し難【がた】い」、「看過【かんか】できない」、
「由々【ゆゆ】しく（由々しいことと）考える」、「[容赦]{ようしゃ}しない」、「（決して）容認【ようにん】できない」 and 「笑い事では済まされない ―
It's not a laughing matter」.

When you say 許し難い, 許し難【がた】い would sound better than 許し難 【にく】い to carry the
tone of seriousness and harshness.
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