stilt grass

hey permies,
my current site (moving in a couple of years to a bigger site) has been completely overtaken by stilt grass (zone 6a catskills ny).  I had planted white and red clover and it did really well for two seasons and then this summer BOOM totally overrun by stilt grass.
does anyone know if stilt grass is edible forage for goats/sheep?
does anyone have any ideas of how to get rid of it?  I tried using a scythe to cut it down before it went to seed but that only seemed to bring it back more robustly.... I tried cutting it over the clover and ditto... still more...
I am considering burning and starting over with white clover.  
I have also tried cardboard with soil on top but the area I am working with is now way too big for that.
thank you!!!

Sheep will eat it, but they don't really like it.  How much they graze it depends on what other preferred graze is available.