The only Escapees parks with pull-thrus that I have seen are the 8 parks that Escapees owns.
Benson is a Co-op whose bylaws require Escapees membership. The lots are long term / lifetime leases 'owned' by Co-op members. Escapees has nothing to do with the operation of the Co-op.
We've stayed at a few of the 11 Escapees affiliated Co-ops and have always been welcomed warmly and urged to join in any/ all community activities.