Why not pay for a setup from one of the vendors? They are just as entitled to the public beaches as anybody, property owner OR tourist. If you don't like being behind them, get up before 6:30 and get your spot before they get out there.
FYI in most areas (all except for Sunrise between goatfeathers and ed walline), the vendors are not require to remove their equipment from the beach completely. Moving it up to the base of the dune or sand fencing is all they are required to do.
This "entitlement" that a lot of property owners and especially visitors feel they have for the beach is hilarious.