Thank you for using our forum. My name is ***** ***** I hope to assist you today.
I am sorry to learn that you were cited while traveling in New York.
Unfortunately you must deal with the citations in New York state (there is no provision to deal with a citation you receive out of state in your home state, and there is a great deal of authority to the contrary).
If your citation requires an appearance in New York, you can retain a lawyer to represent you in New York. In many cases, the New York attorney will be able to represent you in the court proceeding without requiring you to actually travel.
(However you must actually have someone make the courtroom appearance, failure to do so, will lead to a "Failure to Appear" and can lead to a warrant for your arrest).
If your citation is only for a fine (you can plead guilty and pay the fine), you can usually do this either by mail or on the court's website.
But you must deal with the New York citation.
(If you want to contest the citation you can (but pleading that the citation is unfair based on what you posted above is not going to work, if you were traveling 65 mph in a construction zone, the court will assess the fine)).