Some alternative airlines fly a London - New York under fifth freedom rights and a business class ticket could be around the same price as PE. I believe Kuwait Airways stopped ticket sales due to their refusal to carry Israeli passport holders, however their on time performance is poor. Air India might be worth a look though.
There is a all business class airline operating Paris - New York, and Aer Lingus via Dublin have US pre clearance. Take a chance on separate tickets or break the journey for more than 24 hours on a single ticket and you avoid the ridiculous long haul APD charge if the initial flight is within 2000 miles.