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". – Statman Mar 28 '18 at 8:14
• Or perhaps "Rileyddles" – votbear Mar 28 '18 at 12:00
• I vote for rileyddles! – nicael Mar 28 '18 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. – Rupert Morrish Mar 31 '18 at 2:21
• @RupertMorrish have added an explanation for the cape. – anything Mar 31 '18 at 2:53
• The suffix that you put on may be "ointment," right? – Chowzen Mar 31 '18 at 3:05
• Thanks @Chowzen, that makes more sense than my version! – anything Mar 31 '18 at 3:09
• There is also $\ast$ (ROT13) Acibh Rwgoddcwbhasbh $\ast$ (go here) – Mr Pie Sep 9 '18 at 11:34

An attempt at an answer:

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. – Rupert Morrish Mar 31 '18 at 1:16