I based my numbers on Tesla saying you can add 200 miles in 15 minutes. That declines as the battery "fills up".
Lots of Tesla claims in the past have been well overstated, till I see a third party confirm that I'll decline to accept it.
This also assumes there is a Supercharger station available every 200 miles.
Total charging time can be reduced by stopping more often and not fully charging the battery.
How will that affect battery life? I know certain chemistries do not like that.
Lots of strategies, for example no reason not to leave the house fully charged.
I am not an idiot, that assumption was built into my calculations.
If stopping for a meal you might charge longer than what would otherwise be optimal.
Assuming there's a Supercharger station available.
Last charge you just need to charge enough to get home.
Last charge is just prior to arrival in NYC, still need to drive around there and since you're a visitor, there is no charging at home.
My calculations are just from Dallas to NYC as per Feet's statement, does not include the return trip, double everything for that. Furthermore I assumed zero wait time to charge. Doesn't matter is you want to try the 15 minute alleged quick charge f all the chargers are taken up by people doing the 51 minute charge.
Using Tesla's very own Supercharger planning site, estimated time to make the trip exceeds my own. 29 hours, 8 minutes.
https://www.tesla.com/trips#/?v=MS_2020_Performance&o=Dallas,%20TX,%20USA_Dallas%20Dallas%20County%20TX@32.7766642,-96.79698789999999&s=&d=New%20York,%20NY,%20USA_New%20York%20NY%20US@40.7127753,-74.0059728
Note it has you crossing the Mississippi on I40, bad routing there. My advice there is to charge up completely at your last stop in AR as you will be sitting in stop and go traffic for a substantial amount of time if you go that route.
As a comparison, same route via google maps for a gas car, 23 hours, 21 minutes.
https://www.google.com/maps/dir/Dallas,+TX/New+York,+NY/@36.6679328,-89.8930242,6z/data=!3m1!4b1!4m13!4m12!1m5!1m1!1s0x864c19f77b45974b:0xb9ec9ba4f647678f!2m2!1d-96.7969879!2d32.7766642!1m5!1m1!1s0x89c24fa5d33f083b:0xc80b8f06e177fe62!2m2!1d-74.0059728!2d40.7127753
