Another Riley riddle, not as good as I'd hoped

Inspiration here, here, and the original.

Put down my prefix.

Put on my suffix.

You can't see my infix for the trees.

If I had a cape, it would look like this:

Image from benjamindavidsteele.wordpress.com

What am I?

Hint #1:

If I were an an island, I'd be nominally in Auckland.

Hint #2:

The answer is suggested by the title.

• I propose that these puzzles are officially named "Riley riddles". Commented Mar 28, 2018 at 8:14
• Or perhaps "Rileyddles" Commented Mar 28, 2018 at 12:00
• I vote for rileyddles! Commented Mar 28, 2018 at 19:07

You are:

Disappointment.

Put down my prefix:

diss: to diss is to insult or “put down”

Put on my suffix:

ointment: ointment is something that is "put on" (thanks @Chowzen in the comments)

You can’t see my infix for the trees:

sap: “Can’t see the wood for the trees” is an expression. “sap” is found inside trees.

If I had a cape, it would look like this:

The image is of the goddess Columbia (per the website linked). Cape Disappointment is the cape on the north of the Columbia River.

Hint 1:

Disappointment Island is part of the Auckland archipelago.

Hint 2:

Not as good as I hoped: a disappointment.

• Very close. Not quite right on the postfix, and you haven't explained the cape. Commented Mar 31, 2018 at 2:21
• @RupertMorrish have added an explanation for the cape. Commented Mar 31, 2018 at 2:53
• The suffix that you put on may be "ointment," right? Commented Mar 31, 2018 at 3:05
• Thanks @Chowzen, that makes more sense than my version! Commented Mar 31, 2018 at 3:09
• There is also $\ast$ (ROT13) Acibh Rwgoddcwbhasbh $\ast$ (go here) Commented Sep 9, 2018 at 11:34

Is it:

San Andres?

Put down my prefix

Put-down can be interpreted as without (i.e) Sans

Put on my suffix.

Put-on or wear a dress maybe?

You can't see my infix for the trees.

• No to all three guesses, I'm afraid. Commented Mar 31, 2018 at 1:16