I have the mod in question, so I just went and pulled the values for all Hunting Rifle mods that affect AP cost. They are as follows:
Light Frame Receiver - AP Cost -25% (19.5)
Heavy Frame Receiver - AP Cost +25% (32.5)
Tuned Receiver - AP Cost -10% (23.4)
Short Barrel - AP Cost -10% (23.4)
Short Light Barrel - AP Cost -15% (22.1)
Long Barrel - AP Cost +10% (28.6)
Long Ported Barrel - AP Cost +10% (28.6)
Full Stock - AP Cost +20% (31.2)
Marksman Stock - AP Cost +20% (31.2)
Medium Magazine - AP Cost +5% (27.3)
Large Magazine - AP Cost +10% (28.6)
Quick Eject Magazine - AP Cost -5% (24.7)
Medium Quick Eject Magazine - AP Cost -5% (24.7)
Glow Sights - AP Cost -7.5% (24.05)
Short Scope (all variants) - AP Cost +30% (33.8)
Reflex Sight - AP Cost -15% (22.1)
Medium Scope (all variants) - AP Cost +40% (36.4)
Long Scope (all variants) - AP Cost +50% (39)
The numbers in parenthesis after each AP Cost modifier are the AP costs as determined by multiplying the base 26 AP by the percentage modifier. The mod in question indicates that the AP Cost modifiers are percentages; if so, then the values I calculated should be close to what you're getting. Probably the biggest issue I saw with your info is that you state that mods add a flat number; the thing is, multiplying out a percentage results in a flat number, especially since it appears that the game rounds to whole numbers rather than using decimals. So a percentage would still result in a whole number.
Also, you may want to double-check your numbers on the Long scope at the very least. I didn't cross-check everything (it would require a lot of scrolling, and I should really be getting some sleep for work right now), but you say that the Long Scope adds 14 to the AP cost. That means that the AP cost for a Short Hunting Rifle with a Long Scope would be 40 according to your numbers (26 + 14 = 40). However, my math is saying that you only need 39 AP to get a single shot. I'm not saying you're wrong, but if you are able to get a single shot only at 40 AP, then there may be something other than mods affecting the AP cost, because I don't know where that extra 1AP cost is coming from.
As an interesting note, the lowest AP cost you can get on a Hunting Rifle is a Light Frame Receiver, Short Light Barrel, Short Stock, Medium Quick Eject Mag, and a Reflex Sight. Assuming the AP cost modifiers are additive, you'd end up with an AP cost of only 10.4. Of course, the resulting weapon would be more suited to close range than sniping (Range is only about 130 without a Muzzle, and all muzzles reduce Range), but it's still a weapon based around accuracy and scoped shots rather than hip-fire. Damage is going to be lower, though, as the Light Frame Receiver also has a damage penalty. Still, I would be interested in finding out what AP cost you get for the same weapon. Muzzle choice is up to you, as no Muzzles for the Hunting Rifle affect AP costs.
Also, interesting note: the Reflex Sight (Dot) actually has 0.25x more zoom than the Reflex Sight (Circle). Every other stat is the same. Not really relevant to the discussion at hand, but I found it interesting that there was actually a difference between the two other than what the marker on the sight was.