Beav, you'd be far better off grabbing one of the 150+ FO jobs on 737s and EMBs coming up in the next 18ish months.
If it all turns pear shaped, time spent in the third seat slapping yourself to stay awake won't count for much. And if it succeeds, you'll get awful sick of the 13,000 km of nothing between here and there. Rocky overnights are a touch less glamourous but you'll be able to tell people you're a pilot, without blushing and qualifying the statement.