You can easily look up the estimated cost of shipping a bag from NYC to a Dallas hotel address.
https://wwwapps.ups.com/ctc/request?loc=en_US. You may need to also purchase a box to put the luggage in, but perhaps UPS would ship it as is with a shipping label securely attached.
But at ~50lbs and something along the size of a piece of check-in luggage, I don't think it will be cheap. And if you need it there on time, you'll be paying for at least 3 day select service.
I guess you have to decide if the cost of shipping the luggage outweighs (pun intended) the inconvenience of shlepping the extra bags around before you embark on your DFW trip.