I highly recommend Madison Gardens in Old Bridge. Cost will be way less than that for a nice place with responsive facilities management. You'll also be fairly near to the work area you indicated.

I'm paying $1356 for the deluxe two bedroom unit. I've been there 10 years, so I'm pretty sure my price is somewhat grandfathered, but the new ones, even for the two bedrooms, will be way under your $2300 target