NYdeerslayer: any Remington 240 gn or 265 gn will take anything in NYS, period. I would not load the psp slug into your tubular magazine - the LE ammo has a soft plastic tip that is designed not to detonate the primer in front of it - don't know if you can say the same about the LE ammo.
If you reload, and I think you do, visit the Beartooth Bullets website and learn about the 444 and cast slugs. Once you are hooked on cast you won't ever go back to the jacketed stuff.
And (now for the really opinionated part) - I think the plastic tipped slugs for the levers are a fad that have been sold to those who think their old lever gun has fallen by the wayside along with the older easier to kill bears, hogs and whitetail. Today we have such incredibly strong animals that those old lever calibers, and the 444 is now all of about 50 something (not to mention the ancient 45-70), are just no match for their chemically mutated armor plating, super speed, and almost incredible ability to absorb countless tons of bullet impact at phenomenal distances. So they sell us magnum calibers and plastic tipped bullets for lever actions.
One of my preferences for the lever action is the plain effectiveness of the older flat nosed slug the rifles were originally designed to use. Geez man, I can not count the number of whitetail I have personally taken and have seen fall to the 30-30 and a tube full of inexpensive federals from the local wally-mart. The same for the 444 and the 45-70. There seems to be nothing more effective than a flat nosed slug from a good lever.
On occasion I have the chance to hunt Russian Boar and Elk and my preference is for the 444. It so works every single time it is unbelievable and I use flat nosed cast slugs.
And don't believe what people tell you about the Marlin rifling and cast slugs, believe what you can read in the Beartooth writings. It has worked for me. HTH. Mikey.