On May 27, the New Hampshire Senate passed HB 98, which moves the non-presidential primary from the second Tuesday in September, to the second Tuesday in August. It also moves the deadline for petitioning candidates to file a declaration of candidacy from June to May. Since that declaration even applies to presidential candidates, it would violate the U.S. Supreme Court precedent Anderson v Celebrezze.
The bill is not yet through the legislature, because the Senate version is different from the House version. Now the bill goes back to the House.