Congratulations on your purchase. The 22 is a great boat and will give you lots of enjoyment.
Find, beg, borrow, or steal a trailer. This is not a journey for the 22 to be taking. With great weather it would be a wonderful trip. Hard to schedule the right weather for a delivery date. You are talking 30+/- miles of ocean with big time shipping traffic in a small slower boat that has not been "shook down". Every had trouble with the
rig, engine or electrical system? You do not know. You have no history with the boat. It is not worth the risk. It is probably at least a 7 hour trip from Manasquan Inlet to your marina without any real run and hide options. Get her home and take some time getting to know her before asking a trip like this of her.
I know it may be expensive to get the boat moved but it is the only prudent course. Rent a trailer, rent a truck and drag it yourself to save some bucks. Sorry, I would love to help but I do not think your idea is prudent.
Best Regards,
LH