Greenwood-Hamilton is a large area, extending from the Trenton Train Station to The Hamilton Township Municipal building, encompassing two municipalities. There are varied schools and neighborhoods along the route. You can check my website for school information.
It would be for you to tell your agent where you wished to look. Your agent should not tell you where you might be comfortable. That's taking too much liberty. There are strict laws about discrimination that just might come into play as well.
I suggest you ride around the area, check out the schools and get in touch with a real estate agent so you can get properties e-mailed to you, you will get a better feel for what areas you could be interested in.
Good luck, take a look at my web site: Weidel.com/Joyce.Begg no obligation, you can check out what is available right now in the area you are interested in.