A subsoiler will surely break up the ground and can handle roots the size of your arm. It cuts a crack in the ground as deep as your tractor will allow and can handle. I love a subsoiler and have used one to cut ditches, trenches, roots around stumps, bury cable/pipe, etc. We usually subsoil the fields every 4-5 years to break up the upper packed layer which allows rain to soak down rather than run off.
The middle buster plows the earth to both sides and creates a furrow. Not quite as good on big roots. It's a good garden tool. You'll need a disc to follow up with regardless of which ever you buy or choose. Once you disc, you can lay out your rows with the middle buster.
Howse makes a combo unit that is a subsoiler, middle buster and trailer/gooseneck towing attachment for ~$250.