I'm pretty sure that every big ship in the canal carries a local pilot. Drunk captain is too easy.
This story is going to go up and up the news agenda as its global ramifications become apparent.
They have about a week of rising tides to get her off. However the max. tidal range there is only about 2.0m, so the week ahead doesn't offer much solace (depending on the state of the tide when she went on).
I can see her being part unloaded in situ - which will take a lot more than a week to make any significant dent in her draft.
Those vessels, despite their 200k tonnage, are very susceptible to wind on account of their huge side area. That's why Felixstowe is occasionally closed in high winds – even their fleet of big tugs with about 80 tonnes of push/pull power can't control the big ones in a blow.