I run 8' poly-pro straps off the middle-ish D-ring on my 14' sotar legend cat and have had no trouble grabbing the strap and reflipping in 30-40 seconds. I hate messing with flip line bags. I've flipped twice so far this year, both on the Murtaugh at about 20k. The first , few weeks ago,was a surprise and the other was yesterday and a little more expected as we were surfing a massive wave.
I say practice is the biggest thing, far more important than bungees or bags. There is something sort of liberating about nailing your re-flip, especially if you like to surf and play in big water.