I like (fierce in particular). Normally the benefits would be listed in alphabetical order. Samurai looks off - any feat from a single tree is 1 point I believe.
tl;dr: I thought it was 2. I did maths and stuff. Are you sure?
The Sorcerer comes out as
[2] Bonus Feat: Any Species (b)
[1] Charming (c)
[2] Paired Skills (s)
[2] Terrifying Look (l)
The Cleric is
[2] Bonus Feat: Any Chance (b)
[1] Charming (c)
[1] Field Medicine (f)
[2] Paired Skills (s)
[1] Turning (t)
The Adept is
[2] Bonus Feat: Any Spellcasting (b)
[1] Free Hint (fh)
[1] Heroism (h) You said to try 1 for this.
[2] Practised Search (p)
[1] Turning (t)
Since they're all 7 point talents
b+fh+h+p+t = b+c+f+s+t = b+c+s+l
So
b+c+f+s+t = b+c+s+l
Cancel and f+t = l So Terrifying Look's cost equals the sum of Field Medicine + Turning
The other 2
b+fh+h+p+t = b+c+f+s+t
Cancel and
fh+h+p = c+f+s
Heroism you said to try at 1. Free Hint and Charming are both 1 in Talents. That's not a guarantee that they're 1 here, but let's try it
p+2 = s+f+1 or p+1 = s+f
Looking at Sorcerer (and assuming Charming is 1)
b+1+s+l =7 or b+s+l=6. It would be nice if they were all 2, wouldn't it?
Let's see if we can narrow down s or l. The Miner speciality has
[1] Bonus Feat (Specific) This was one of your hints I believe
[1] A proficiency
[1] A skill focus
[1] A trick and
[1] Another trick
I think all of these are reasonable as 1 point abilities That just leaves Paired skills (our s) to be 2. So let's tentatively assign a value of 2 to it.
Corsair is the only other talent with Terrifying look. It has
[1] Bonus Feat (Specific)
[1] Agile Defense
[?] Flashy
[?] Terrifying Look
[1] Skill Focus
So Flashy + Terrifying Look =4 and Terrifying Look is probably greater than 1 due to being the sum of Field Medicine and Turning. TL could be 1.5, 2, 2.5, 3, or 3.5 Flashy gives 2 points of panache, so I'd like it to be 2. It's also in Aristocrat with 3 one point abilities and Noble Renown, thus the Renown and Flashy also sum to 4.
Can I show that Renown is probably 2? Dragoon is
[1] Bonus Feat (Specific)
[2] 2 proficiencies
[?] Military Renown
[?] Paired Skills
While Musketeer is
[1] Bonus Feat (Specific)
[1] Attribute Training (Proof omitted because I want to finish tonight)
[1] A proficiency
[1] A Trick
[1] Heroism
[2} Military Renown
So the renown is probably 2. Since Dragoon shows Military Renown + Paired Skills =4, Paired Skills, s , =2
Flashy + Noble renown =4 and renown is probably 2, so Flashy =2
Paired skills works in Miner as 2 too
Oh, and Flashy + Terrifying Look =4, so TL =4 (l in the original formula)
Oh, and Lord pairs Flashy and Practiced Skill with Stand Together (2ish) and a bonus feat(1). So Practiced Skill is probably 2 as well.
Since we knew that Bonus Feat (Any 1 tree) + Paired SKills + Terrifying Look =6 and PS and TL are both 2, so should be Bonus Feat any 1 tree.
If you plug these values into our original 3 talents, you'll see that Turning has to be 1 point, which leaves Field Medicine to be 1 point.
I had to make some assumptions about values to make this work, but that's basically how I came up with 2 for a bonus feat from any 1 tree.