You will meet all the requirements to legally sit reserve in NYC short or long call. In NYC we also have a rule in place giving you extra time to the two further airports. We have a document called the Scheduling Reference Handbook. It’s a attempt at a plain language explanation of the scheduling rules. Here is the part with the information you need. The company as I posted is very understanding about the issues reporting for trips. If you can honestly drive to one of the 3 NYC airports in 2 hours normal conditions you are golden. You will also find you can make a lot of money flying overtime if you so choose.

From the Scheduling reference handbook:
Occasionally SC assignments may report very shortly after the SC begins. As long as the report is at or after SC start it is a legal assignment. A SC pilot must be promptly available which is an undefined term. If Crew Scheduling places a rotation on your schedule with limited time to report/pushback you should provide your best guess as to your arrival time under normal driving conditions. With extremely short report/push back situations, the Company has made a business decision and understands you may not be able to report by the Company's posted time. You are not expected to drive excessively fast, for example, simply to make the Com-pany's posted departure. Communication with Crew Scheduling is critical in situations such as these. Once you are in the cockpit, slow down and take your time.
Note: For NYC-based pilots, short-call availability may be measured from the pilot's closest co-terminal (EWR, LGA, JFK), without regard to the actual co-terminal to which he may be required to report. An NYC reserve pilot on short call who is assigned a rotation reporting in EWR will be reimbursed for up to $100 of actual transportation expenses to EWR. For LAX-based pilots, short-call availability is measured from LAX.
If a pilot anticipates an unusual response time, he should inform Crew Scheduling for their planning purpos-es. Any discussion of “reasonable” should occur only between the pilot, the chief pilot, and possibly an ALPA representative.
A pilot who is converted to short-call will not be required to be available for contact during the first two hours of his short call period provided he informs Crew Scheduling at the time of notification from Schedul-ing. The pilot If he does so, he must be able to report for a rotation no later than two hours after the start of his short-call period. During his period of unavailability, the pilot assumes responsibility for acknowledging any rotation placed on his line.

PM me and I will send a copy of the entire scheduling reference guide.