Explanation summary:
Every time you conclude an encounter where at least one enemy was defeated with violence, you get a maximum HP bonus, and also a +1 attack for everyone and +1 magic for Susie & Ralsei for every 10 encounters, but the Darkner doesn't appear in the overworld anymore, thus allowing for only a limited amount of occasions to get stronger (outside of exploits, of course).
Now, the problem is, if you play the game "normally" (normal Route or Snowgrave route) and don't try too look too hard to find some of the more "hidden" encounters...you are probably going to end up with the same attack/magic as you'll get after sealing the fountain anyway (14 attack for Kris, 18 attack and 3 magic for Susie, 12 attack and 11 magic for Ralsei), essentially making the whole "violent run"...not very rewarding, since in the end you only really lose potential recruits with no apparent extra benefit.
And so i decided to do a few tests exactly about this, to see what's the max amount of encounters possible (and thus, max potential stats gain) in this chapter...and as it turns out, it's a neat and perfect 40 possible encounters, just enough for +4 stats for every party member (+2 compared to what you get at the end of the chapter!)
In case you don't want to abort the Snowgrave route, by doing every step except now you have to make frozen chicken wings, you'll should still be able to reach 30 encounters with the minibosses (Mauswheel, Tasque Manager and Werewerewire) for a +3 stats gain (just 1 more compared to what you get at the end, oh well).