Surplus green matter & compost bins full!

Well, the runner bean and french climbing bean stems have been cut down and cut up and the sweetcorn has been dealt with similarel and popped in the bins.  The beaties in the bins are doing a swell job but slowly.  The tomato stems and sweet potato runners (boy do they run)! are not going to fit in the bins.  I don't want to put the greenery in black plastic bags and have it go all slimey!

Where should I stuff it all?

Cheers,  Tony

Think of it as 'chop and drop' compost. Just leave it where it falls, the beasties will incorporate it into the soil where it is - no need to put it inside a bin