Using the flight availability theory, and if the 1st destination is a a direct flight, here are the most abundant options departing from JFK after 4PM (my range of search was up to 11pm, and I've excluded Sao Paulo, as I doubt they'll visit here again this soon), based on scheduled flights available on flightstats.
Did not search earlier, as I tried to account for time to travel to airport, time for a task or to get to ticket counter and also security at airport, and maybe some time for some footage at the airport.
Buenos Aires: 4h10 / 9h59 - Seems far fetched, 2 flights, but too far apart. Been a while seeing all teams heading to 1st destination in one flight.
Paris: 4h20 / 5h20 / 5h47 / 6h25 / 6h40 / 7h30 / 9h10 / 9h50
Frankfurt: 4h10 / 7h39 / 8h55 / 9h55
Rome: 4h25 / 5h20 / 6h05 / 7h43 / 10h05
London: So many that I'm too lazy to reproduce here
Dublin: 5h30 / 7h05 / 8h50 / 10h07
Amsterdam: 5h35 / 8h34 /10h15
Barcelona: 5h45 / 7h49
Dusseldorf; 5h55 / 9h40
Zurich: 6h00 / 6h10 / 6h11 / 9h00
Brussels: 6h15 / 7h36
Milan: 6h15 / 6h23/ 8h30 / 10h20
Santiago: 7h00 / 7h30
Madrid: 7h10 / 9h00 / 10h05
Edinburgh: 7h20 / 9h31
Manchester: 7h25 / 9h30 / 10h00
Reykjavik: 8h40 / 9h08
UPDATE:
Decided to check out earlier scheduled flights, even though they might not work for the Racers, those earlier flights between 1PM to 3PM might work for Phil.
2 Destinations listed above kind of jump-out:
- Santiago: 2h05 / 2h59
- Reykjavik: 2h10
Food for thought