Listening to any dialect will at least give you a sense of the phonetics of Arabic, as you said. Since you're also focusing on French, you could do a dialect like Algerian where French borrowing and codeswitching is common...
My favorite Arabic radio station is راديو أرضي
, based in Amman. It plays alternative Arabic music, mostly from the Levant, and to a lesser degree from Egypt and elsewhere.
Please correct my mistakes in any language.