You may want to arrange for shuttle transportation at the Ground Transportation counter when you arrive. You can also take LIRR from Jamaica (take Airtrain from terminal to Jamaica Station) to Mastic-Shirley which is the closest station to BNL, or to Patchogue or Ronkonkoma (more frequent train service to those stations than Mastic-Shirley) and take local transportation from there. Check with LIRR for schedules and fares.
You may want to arrange for