Hi Matt -
It was indeed RNZI. I pick them up regularly just up the road from you in Central Connecticut. Albeit, the window has been narrowing on reception as summer draws down....previously as early as 0800utc, now only starts at 1030utc. They switch to another frequency for B-Season which starts the end of October.
Folks in the midwest have been receiving them on a different frequency at 1200utc (6170) but I have had no luck. Scroll down the shortwave board where your post is located, you will see many RNZI loggings. They have a great music program on Saturday. You should get an eQSL back from them, no more paper.