Hello,
My husband has been several times to the Abbey of Gethsemane near Bardstown, KY; it is just about his favorite place on earth. (He has, for years, studied and written about Thomas Merton, and Merton’s secretary is still at Gethsemane.) The Georgia abbey someone mentioned is at Conyers GA - The Abbey of the Holy Spirit.
With regard to centering prayer, here is a quote from the late Fr. Basil Pennington himself. It is clear that God must always be at the center…the be all and end all:
"In prayer we seek God. We do not seek peace, quiet, tranquillity, enlightenment; we do not seek anything for ourselves. We seek to give ourselves, or, rather, we do simply give ourselves, even without attending to ourselves, so whole is our intent upon the one to whom we give: God. He is the all of our prayer. If thoughts and images and feelings careen around in our head and in our heart, little matter. We pay no attention to them. We do not seek to get rid of them any more than we seek to entertain them. As we give ourselves in our loving attention to God, we also give them to him. And let Him do with them what he wants to do with them."
Though it is not my cup of tea, to each his own with regard to manner of prayer.