The stock 10" Tornado is one outstanding coil but my 12x10 is deeper, seperates left/right wise even more oustandingly, makes tones louder and more crisp, and is a more stable coil allowing higher sensitivity settings in my mineralized soils or sands. I owned the 15x12 and found it was not as deep as the stock 10" coil in my mineralized soils on ring/coin sized targets. Only thing I can figure is that it was sucking up too much ground matrix. In fact, I found that it often got more depth, or at least ID at depth, if I turned the sensitivity down about 1/3rd from what was highest stable for it at a site. In other words, if it was stable at say 9PM, often I'd find about noon to maybe even 2PM or so seemed to give more depth or at least ID at depth. Stick a coin at fringe depth in the sand at max stable sensitivity, to where the coil is just hardly IDing it somewhat, and then try turning the sensitivity down in small steps and see if the ID cleans up. It often did for me.
Oddly though, in my mineralized beaches the 15x12 seemed to get more depth than the stock 10" coil on coin/ring sized targets. Just not on land in my mineralized soils for some reason.
If you want more coverage for sure the 15x12 will give you that, but to find out if it's deeper or even *as deep* as the stock 10" Tornado in your soils or sands, stick a coin in the ground at fringe depth for either coil and then swap and compare. The 15x12, at least in my soil, I believe is beyond the point of no return in terms of coil size to see gains in depth on coin/ring sized targets. In fact, the official field test of this coil shows it got less depth than the 12x10 on smaller coins, and only showed gains in depth on bigger targets (like say half dollar size or so or bigger). The 12x10 was also clearly deeper on sub-dime sized silver, which might be important on the beach when jewlery hunting, and as said even on a dime sized coin it didn't seem to get the depth of the stock 10" coil for me on land (but seemed to get deeper in the sand than stock on a dime).
But you asked about "best" coil for beach hunting? Many will tell you, on both the Explorer/Etrac or the Sov/Excal, that the favorite coil for both more depth and vastly improved left/right seperation and stability is the 12x10. That's not just my opinion, but that of many others in both this forum and the FBS forums. Do some old thread searching and judge opinions for yourself and go from there.
I've been testing out the S-12 in comparison to my 12x10 and the 13" Ultimate I was loaned, and I can say I'm not a fan myself for various reasons. I posted a thread on that several weeks back, and also soon will be posting a few videos of it being ran through it's paces against other coils. Is it a great coil? Sure, but I'd take the 12x10 myself over it, and also plan to buy an Ultimate to replace my loaner, but I won't be adding this loaner S-12 to my arsenal. If I can find a good used cheap price on one down the road I may throw it on my water shaft to replace my 10" Tornado for more coverage, but only because I find the 12x10 too much drag in the water due to it's squarish shape. I'm completely happy with the 10" Tornado in the water but I suspect, based on how popular the S-12 is among Excalibur water hunters, it doesn't really increase drag much at all maybe over the 10" Tornado, both being round. I never use the 10" Tornado on land anymore based on my love for the 12x10, so if I swing a cheap S-12 down the road I'll compare it's drag and performance to the 10" Tornado in the water to see if it'll find a place there.
PS- Pin pointing with the SEFs....The 12x10 is great using the center, but with it and the 15x12 you can get even more precise by using the tip of the coil. Wiggle forward until you just hear the target and it'll be right at the base in the "V" shape at the edge of the coil. In the water I use the back edge of the coil and the base of that "V" shape at the edge there. I stick my big toe against that depression and then guide the scoop along my foot. Works like a charm.