The 203K loan has many pros and cons. The amount of red tape can be overwhelming enough to keep most contractors away. I don't know anybody who works that far south in Jersey, but I can tell you what we did and what we wish we had done with our 203k loan.
To find a contractor we ask our mortgage guy what contractors in our area had worked with him in these kind of loans. He provided a short list. When then asked them to provide estimates and walk the property with us. One offered references, others did not.One didn't even call back. One guy didn't even follow through with this formal estimate. In the end, we worked with a contractor that survived the initial paperwork trial, and we got lucky. We ended up liking the guy, trusting his judgement, and respecting his opinion and advice. That's not to say that it all went smoothly or that we loved, loved, loved everything done. There were hiccups, but the work got done -- much of it much better that we expected -- and we were able to roll 50k in much needed repairs into the mortgage from the get go.
This is what we didn't do: While we ask the lender to recommend contractors, we didn't ask our contractor about his experience working with our lender and how they fared in comparison to other 203K lenders. If we had, we might have gone with some other bank (had we had the luxury of time to change lenders). That could have potentially saved us some $4K-5K in holding costs. Hiccups in the processes and inspections required for each draw with our lender took forever. I believe our contractor received his final draw almost 2 months after the work had been finished. These issues (and flooring problems) added almost a month-and-a-half in delays. And as you know, delays in RE are indeed quite expensive.
If you (or others) are interested, our 203K contractor had very high praise for the folks at AnnieMac. Look them up, they're also in BiggerPockets.