isn't the obvious answer not to eat less beef but rather not produce beef super fast with grain feed. if the beef we ate came from grass lands + hay in the the winter it would cost more, but would dramatically reduce the crop consumption...
Here in the UK, we use silage because the weather is a bit too variable to trust with letting hay dry out. It feels like it's probably more energy-dense and has more nutrition in it, you certainly don't need to feed as much.
Other things that work well are sugar beet (grows well as part of a cycle of crop rotation, clears weeds pretty well) and all that barley left over from brewing beer and making whisky.
Even soya-based cattle feed is made from the tough cellulosey bits that humans can't eat. If you want to try, I'm sure I can get you some - but maybe have something on hand for the inevitable constipation because it is all fibre.
