Find a good tile manufacturing company with a history of innovation; and an innovative installer. Tile does not have to be installed at 4 or 5 or 6 foot depths and 100 ft spacing. For your situation, I might consider 2.5” tile at 20 ft spacing and 2’ depth  Early drainage of surface water leads to faster soil warm-up, earlier working conditions, fast return to working conditions after a rain and increased water holding capacity (between the bottom of the tile and the impermeable clay layer) to help carry the crop through the Summer. Installation of small diameter tile at shallow depths goes fast but is design critical.