After applying for an extension of time and the extension having been granted, the due date for the cert petition in Gould became April 1st. It took a few days for the SCOTUS docket to appear. The attorney for the petitioners, David Thompson, is the same attorney for the petitioners in Rogers et al v. Grewal et al, (cert petition filed on Dec 20, 2018) which challenges a similar handgun carry law out of New Jersey.
The cert petition in Gould is very different than the one filed in Rogers. The Roger's cert petition railed against Open Carry despite New Jersey handgun carry permits not restricting either manner of carry. The Gould cert petition doesn't mention Open or concealed carry other than in a footnote saying that "Class B" handgun Open Carry permits are no longer available. "Class A" handgun carry permits do not restrict either manner of carry.
The Brief amici curiae of Attorney's General of Arizona filed in support of Roger's cert petition did not even mention "Open Carry." After reading the brief, one might think the only possible way of carrying a handgun is concealed and long guns simply do not exist. Amusingly, the other five Amicus briefs in support of granting cert in Roger's took a different approach. The NRA Amicus brief cited case after case in which bans on concealed carry were upheld, and not upheld because Open Carry was legal but because concealed carry is not a 2A right or a right under the State Constitutions.
Which pretty much torpedos Roger's argument that states can ban Open Carry in favor of concealed carry. Either the petitioners from New Jersey really, really hate Open Carry or the so-called gun-rights lawyers don't communicate with each other.
Gould, like Rogers, is limited to handguns the latter being limited to handguns which are easily and ordinarily carried concealed. The State's response in Rogers is due on April 19th, which is plenty of time for SCOTUS to make a decision on whether or not to grant cert before the end of the current term in June. The response by the State of Massachusetts in Gould is due on May 6th. The state can ask for a 30-day extension which, if granted, still leaves time (barely) for SCOTUS to make a decision on whether or not to grant the cert petition.
In any event, here are the links to the two SCOTUS dockets.