There are at least two religious institutes who have dedicated contemplatives within their ranks. These cloisters usually require that their members have field experience.
One of these is the Maryknoll cloister, which was started some years after Mother Mary Joseph Rogers, MM, founded the active sisters. Here is an interview with one of the sisters: maryknollmissionarchives.org/?p=5746
They apparently have contemplative space that they share with the laity.
Main site: maryknollsisters.org/