1. Is dwolla still a reliable way to transfer money into MTGOX?
You will need to have your account verified at Mt. Gox before those funds from a Dwolla transfer will be credited to your Mt. Gox account. But once that is true, the transfer is pretty quick (minutes to hours).
2. If not, what is the quickest way to get BTC without cash deposit?
There are individuals who will trade with you. The frequent traders get flagged as high risk, just like a bitcoin exchange, but those who do Dwolla transfers infrequently with others can trade with you. Some of them monitor this thread, specifically for announcing funds available for transfer:
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http://bitcointalk.org/index.php?topic=78512.0Otherwise, now that the clock is ticking you can send those funds back to your bank if you didn't want them tied up at Dwolla until your 30-day probationary period is up.