Road salt can create a toxic environment for any plant, so you may struggle to get anything to grow along the road. Sprinkle the soil with powdered gypsum; it may help flush the salt down through the soil profile. Gypsum is available at the garden center and it's very inexpensive. Then you might try planting a groundcover that is more tolerant of salt than turf; something like English Ivy (Hedera helix), Virginia creeper (Parthenocissus quinquefolia), Liriope (L. spicata), Candytuft (Iberis sempervirens), or Potentilla (P. species). Beware--some of the plants I have listed are invasive species in some parts of the country.