The Dual Field (DFPI) is an excellent waterproof PI machine, good value for the price, and retains value well if resold used. Adjustable pulse delay and adjustable gain are significant determinants of the ability to detect with a PI, and the DFPI has both. Clive Clynick has 2 excellent books on PI machines in general, one of which is devoted to the DFPI. I own a DFPI and am very happy with it.
Pulse rate per second does not correlate with a machine's ability to detect, and the pulse rate on the DFPI is not adjustable i any case.
The issue with using a PI machine as a general purpose machine on any given tourist beach is the amount of iron present. Small nails/tacks/wire bits are the ultimate adversary, and are very hard to overcome, as you cannot eliminate them by increasing the pulse delay without losing gold, and you cannot dig them all when you hit 2 or 3 on each swing. You can look for areas of erosion on these beaches, where the light stuff is gone, and run a PI there. Or you can go to choice locations such as the wet sand in front of an expensive hotel, and clear out a small area. The small iron issue may be less pronounced during the off season, but the gold may be less pronounced also. Some small iron will give double beeps when swept longways and thus can be ignored. With a good ear you can hear some small iron sound off as weak signals; but if you are pushing the machine for max depth, they all will sound good.
The small iron issue is usually less in the water compared to the wet sand, but then recovery time per target is increased.
My advice would be to take the Etrac to the wet sand, go to all metal, and hunt for a day and see if that is something that you would enjoy. Another idea would be to contact other beach detectorists in the New Jersey area to see if anyone uses a PI. Surfdigger (Brian Mayer) lives at the Jersey Shore, and may still belong to this forum. I know he is on Facebook.
I hope that I have not discouraged you, I enjoy the challenge of using PI's and they are my machine of choice (if the beach will allow you to use it!).
Happy Hunting.
Charles