Best type of venue for a social anxious introvert

So my FH has social anxiety hates all eyes on him which is why we are not having a full wedding ceremony with guests. I am about frustration cry and I have a wedding trying to find affordable venues that are private. I have always wanted to get married outdoors. Most places I want are super expensive and hotels won't really accommodate us because why allow a short elopement ceremony when they can make more money with a full wedding. I get that. I am in Florida so I could do a beach or park but even if we rent a space we cannot kick all the people out so I know I would watch a couple getting married and he hates any eyes on him. I thought of renting a house but not interested in getting married in someone's backyard unless facing the ocean and usually those house are super expensive. I am mostly venting as I want to compromise with him to not make him anxious but I am slowly starting to feel like my dream for how my ceremony would be is disappearing and I am about to just give in and do a courthouse which I know I would regret and resent. Does anyone have any ideas for venues for social introverts?