I am not going to suggest that you change your network provider ..
Pre-booking wise I use Blacklane for JFK transfers. Usually great service and someone waiting for you in the arrivals hall with a name board that can help you with luggage etc and to steer you through the sea of taxi touts. I have no hesitation in recommending them.
Blacklane give you an hour waiting time on airport pickups and they always check for flight delays/early arrivals.
JFK customs at 1140am..... hmmmm, first time in the states or not? If not, then use the automatic machines - all going well you should be through in about 5-10minutes. If it is your first time in the US then still use the machines

you will no doubt generate a big X through your printout, but you get to move to the front of the much shorter automated gate line.
If you have data, then you can find out all the driver info in the app or via email; if you don't, they text you the driver info too so you should be able to get in touch with your driver if you do run into any delays.
As I have said, I am very happy with the service they provide and have used them in several countries over the past couple of years.
mikethe3rd wrote:Of course, you don't tip with Uber (unless you really want to) and even if they mark you down for not tipping, it doesn't affect your UK rating and they can't access your driver rating in the states... This might have changed.
Sadly this has, the US and UK rating is the same.