There are two monasteries in this area, but according to Google, they’d be 4 hours from you.
I’ve been to St Scholastica’s Priory, and St Joseph’s Abbey, but not to the Easter Rite one.
stscholasticapriory.org/ This is attached to St. Mary’s Monastery
stmarysmonastery.org/ The Masses here are in English and Latin and the monks and nuns sign in Gregorian Chant. Very easy to get a reservation.
spencerabbey.org/index.html All the Gregorian Chant they monks sing, has been translated into English.
This is my favorite place to make a retreat and people from all over the USA go their for retreats. However, it’s more difficult to get a reservation as a result.
maronitemonks.org/ Never attended, but it’s just down the road from St Mary’s above.
Other than these, you could call your diocesan office and ask for recommendations for making a retreat closer to you.
In all, remember, it’s a relationship with God that you seek on your week-end, not the ascetics of the monastery, which although beautiful, can be superficial it it’s the sole reason for your attendance.