I have done this trip many times on sailboats from 25 to 44 feet. It should not be difficult on a decent twenty something tug type
power boat. Running the outside on the NJ coast is much faster and more relaxed. There is cell coverage the whole way so you can get updated
weather, including
weather radar, which can be helpful for evading thunder storm activity. There are inlets spaced conveniently if you want to pull in and rest. You might have to wait a day or two in Atlantic Highlands for the south
wind to clock around, but it does regularly. Or run early in the morning to about noon, when the wind starts to build.
Going up the Delaware is the easier direction. The predominant wind in the summer is out of the south, when it blows against the ebb you can get short period waves. But if you are going up the Delaware that won't be a problem and if you can maintain 6 knots you can carry the flood all the way to and through the C&D, not true coming down the Delaware.
Frankly, the roughest part of the trip might be the Verrazano bridge to Sandy Hook. On a typical summer afternoon with the breeze blowing against the ebb tide, it can get pretty lumpy.