What is the 7 day forecast for your area and the area in NJ?
For cold weather shipping you need to be able to find boxes that come with foam inserts and 20 hr to higher heat packs. If someone has the right tools and are good with clean cuts then you can find boards of foam insulation at lowes etc. No where around here sells the prefab insulated boxes. I have to order them.
Shipping big chams you can use a cloth bag or a brown paper bag. I use the brown paper bags for small chams also. Dont like the idea of them bouncing off the deli cups.
1. put box together
2. put foam inserts in
3. put shredded news paper or crumpled onto bottom
4. put shredded paper in the bag. If you use a brown paper bag punch a few holes in it. If the animal is big use it as you would for a loaf of bread not say dropping a marble into it

and staple shut
5. put animal on top of the news paper and fill in around it with lightly crumpled or shredded news paper. Also a small layer on top.
6. wrap your heat pack up with news paper. If the pack is a big one use more paper. This will let it go for longer with less heat instead of lots of heat for shorter.
7. tape pack to the bottom of the top piece of insulation. On one side or another not directly in the middle.
8. Poke two pen size holes straight through the box. Actually better to do it before the animal is in there

Make sure tape will not cover the holes. Poke them more in the top half so heat can escape also.
9.put label on and tape box shut.
You can get cheaper shipping through shipyourreptiles.com. Paypal is the best way to be doing transactions IMO. Even if they do take a small percent. it takes a few days to set up though.
You could probably get away with doing it early this week. If temps are about the same in NJ as here then 32 is the low. I would not do it with a small animal though. I think you are only dealing with older animals. With a properly packed, larger chameleon one should be able to play with low temps a little more. Some may disagree but I have shipped them to some real cold places with no problems.
Edit: Also shipping from a warmer climate to a cooler climate can be tricky.