2. Whether he using reloads, how he is resizing, barrel to frame gap and headspace are ALL entirely irrelevant to the problem of vertical stringing.
Actually, it is entirely relevant. If he is reloading for the Encore, especially when neck sizing, and doesn't know barrel to frame gap he probably doesn't know how to allow for proper headspacing, and if not allowing for proper headspacing it is all too easy to get vertical stringing due to inconsistent pressure of the cartridge head against the frame. Unlike bolt guns, as the cartridge grows when fired and is only neck sized, the inconsistent pressure of the cartridge head against the frame will lead to vertical stringing. I had it in my .243 until I started resizing the brass so that I got a consistent .001" gap between the case head and frame face (actually the firing pin bushing or whatever it is called). I've also helped a few friends with similar vertical problems resolve it the same way, and I've read a number of forum posts where a vertical problem that defied all other attempts to correct was solved this way.
Think about it - no matter how good your bench technique is, no matter where you place the rest, no matter how consistently you place the rest, or hold the rifle, if the cartridge is putting inconsistent pressure on the frame face in a break action rifle, you can't help but introduce vertical.
Detecting whether this is part of the problem is easy. Take a feeler gauge (to really get precise you need a set of gauges starting with .001 and going up in at most .0005 increments at the smaller end of the scale) and a handful of your fired but not resized brass (you could use reloads, but I prefer not to) and chamber them one at a time and measure the gap between the case head and frame face. Just close the action trapping the thinnest feeler gauge between the cartridge head and frame face and then remove the feeler. If it comes out easily, go to the next largest, etc, until you find the one that you can remove but that resists removal. Repeat with each piece of brass and note what the gap is for each one. If it is pretty consistent, especially if it is right around .001-.002 with no noticeable variation, then this isn't your problem. If, however, the measured gap varies noticeably and/or is much larger than .002 or if it is so tight none of the feelers are easily removable then this could easily be your problem.
Solving it is easy too - instead of neck sizing, use a full length die and bump the shoulder back till you get the desired gap. This technique relies on the brass already being a bit long (measures less than .001 cartridge head to frame face), but if you've been neck sizing and have fired the brass a few times, it is probably there. If not, keep firing it until it is - too much of a gap can still cause vertical since the pressure isn't consistent, but I don't know of an easy way to stretch the brass other than firing it...
You'll need a good .001 feeler gauge and a bit of patience, though a .0015 or .002 gauge would work for anything but the most particular of reloaders (like me). Start with the die far enough out that you are barely or not even touching the neck. Turn the die in slightly (and I do mean slightly - remember, reloading dies are 14 pitch, which means 1/16 of a turn is still .004") and lock it in, resize the brass, then check the gap. Keep repeating this until you get the measured gap down to .001 (or whatever gauge you are using). Then resize another piece or two of brass with that same setting and make sure you are producing a consistent gap of .001 (or whatever) between the cartridge head and frame face.
And there you are. Nice, consistent reloads with minimal gap.
I'm not saying that you shouldn't eliminate other possibilities if you are getting vertical, and certainly some are easier to eliminate than this. But especially if you have already explored other possibilities, this can certainly be the problem. I know, I've been there and done that.
Just a Shooter