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The case for a two-day visit? (9,3)

Ross

I believe the answer is:

overnight bag

I'm a little stuck... Click here to teach me more about this clue!

'visit?' is the definition.
Although both the answer and definition are singular nouns, I don't understand how one could define the other.

'the case for a two-day' is the wordplay.
'the case' becomes 'overnight' (overnight case is a kind of case).
'for' means one lot of letters go next to another.
'a two day' becomes 'bag' (I can't justify this - if you can you should give a lot more credence to this answer).
'overnight'+'bag'='OVERNIGHT BAG'

Can you help me to learn more?

(Another definition for overnight bag that I've seen is " Small travel case".)

I've seen this clue in The Globe and Mail and The Telegraph.
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