There are very few options that are "similar" and this is one of my favorite boards of all time, I own two. The Supermodel has 10mm of taper, a small amount of taper for sure, but it loosens up the board and sidecut for a surfy ride. It also is full camber, which might be why they added taper to loosen it up.
The only other board I know of with that profile is a Winterstick Tom Burt Model.
As for suggestions, the Burton Sherlock is IMO, the best resort/slackcountry board made. The wicked sidecut makes it really fun in the trees, and the flying V rocker is rad for everything, high speed and beyond. Your P1 bindings will work, just call Burton to get the adapter disk. Burton Custom Flying V is also sick IMO.
Capita BSOD, if you can stomach the graphics, is a great all mountain board IMO, I have a old cambered one that is amazing.
On the really deep pow days, I use a Never Summer Summit, another amazing board........