Lebh Shomea in Sarita TX (on US 77 just above the checkpoint, closest city is Kingsville) is on Kenedy Ranch land donated by the family to the Oblate Fathers. There are at least two resident hermits who can provide spiritual direction, cottages for long-term stays, and a guest house, the former family residence, for shorter stays. This is a hermitage, a place of silence on ranch land where no hunting is allowed, abundance of birds and wildlife, walking trails, for someone who wants a real retreat, a real separation from daily life for a weekend, week, or longer. They also have a wonderful theology library, and scholars often stay here to do research. They do not do directed retreats or group retreats, they provide the space and the atmosphere of silence. You may schedule a meeting for spiritual direction when you make your reservation. diocese of Corpus Christi can give you contact info, but it is not a diocesan center, it belongs to the Oblates of Mary Immaculate. closest airport is Corpus or Harlingen
the Benedictine Sisters of Starr County have built their monastery in Rio Grande City, the adoration chapel is complete, and the retreat center is nearing completion. They can take individual or small groups for retreats. women stay in the monastery itself, men in smaller guest houses. they can provide a directed retreat for your small group, but the more usual retreatant is an individual who is there to participate in the routine of monastic life: liturgy of the hours, Mass, Adoration, lectio divina, and silence. They especially encourage those women who are discerning vocations. closest airport is McAllen, RGC is on US 83 between Laredo and McAllen, about an hour west of McAllen. I just posted their website someplace, let me doublecheck it
starrcountybenedictines.org/