Hi,
I hope you have a great trip in NY.
First of all , I would suggest getting a couple of strobes. With 2200$ , you will not be able to get a DSLR package and I believe that strobes make more of a difference that one camera or another.
Your budget should be enough for the Olympus Pen Micro 4/3rds cameras , housing and 2 strobes , maybe you will go a little bit over.
Amazing review of their previous model can be found on Backscatter
Here are some links to get you going:
Olympus Camera and Housing Bundle
BTS Olympus Pen Arm and Tray set
2 x YS-01 Sea and Sea Strobes
You will also need a couple of fiber optics cables.
If you want you can go for a Sea and Sea arm and tray set , they have a couple of options as well.
I think the Olympus Pen will give you the best results for your budget.
If you have any specific questions , PM or email me and you are welcome to ask more questions in this thread , I will do my best to recommend and there are many other professionals here which will for sure comment and recommend themselves.