Delivery location near Newark Airport that can hold my car for 1-3 days

I need to ship my car from Los Angeles to the Newark area and am looking for a parking lot that the car can be delivered to and parked at until I fly into Newark a couple of days after delivery to pick it up.

I already called a couple of parking lots and they do not allow large transport trucks into their lots to unload and also said the truck stopping on the street to unload my car would cause traffic problems. Another challenge is that many lots require a reservation, but I do not know the exact date my car will be delivered and I don't want my spot to be given away as a no show if delivery is later than my reservation start date.

Please let me know if you have any recommendations for a lot that my car can be delivered to.