+1 to +10 via spells
With the melee build uve posted u can take reckless abandon rage talent for an additional +4 to hit, but if ur not wanting to scarifice ac that might not be an option. Pale green ion stone will give the melee +1 circ bonus and greater archery bracers will give the ranged +2. Enchantment wise a +3 furious weapon would net the melee +5 hit for same price. Additionally as stated above there are many spells that will boost ur attack.
You also have to remember those special abilities won't always be on, and the fighter is not far behind with no special abilities active.
You need to decide how good you need to be during boss fight vs how good you want to be in regular fight or do you mind being the same in both which is what the fighter does.
For the archer there are the greater bracers of archery.
For the fighter there are the duelling gloves.
If you have a cash cow you can get additional +2 to hit via inherent bonuses to DEX/STR with tombs or wishes.
you could always get a charisma stat headband and take the eldritch heritage feats for an additional +4 str at 15th
The only requirements for eldritch heritage is level and charisma.. item modified or not its still ur chrisma, so a base 11 cha and a +2 headband would quilify u for eldritch heritage... 11 and a +4 headband for improved and a +6 headband for greater.. Along with the level requirements.. Now if u were to take the headband off or loose it or if it was dispeled or negated in some way you would loose the benifits of the feats.. The same way as u would loose power attack if ur str gets drained below 13..
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For the archer, a Human guide ranger seemed the best place to start. 19 starting dex, bumped to 28 with level + items, +4 bow, weapon focus, point blank shot, 15 BAB, and +8 from hunter's focus. That gives +38 to hit.
Take your Guide Ranger to level 6 (+4 Hunters Focus) and then 10 levels of Horizon Walker (I know this is 1 level more then your 15th level examples - but you can't jump into HW before that) for a whopping +18 Favoured Terrain Bonus that stacks with the Hunter's Focus for +22 attack/damage.
Add BAB (16 in this case), 28 DEX (+9), WF (+1), PBS (+1), +4 Bow and you end up even further ahead with a whopping +53 to Attack.
If you stop at 9 levels of HW to meet your 15 level cutt-off you lose a total of +4 to your highest favoured terrain so it drops to a paltry +49 to attack.
It's worth noting that HW is a great prestige class for other melee characters as well. In addition to the absurd attack/damage bonuses from Favoured Terrain a Barbarian can gain immunity to fatigue/exhaustion with just a 3 level dip (hello Rage cycle!).
Entry requirements aren't that steep, but are easiest for the Ranger.
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It's more then a possibility - it's a fairly high probability.
Truth is you'd only pump every bonus into a single terrain if you knew you were spending you're entire career in that terrain. It may be great for some AP's that focus on being in a specific area or if your GM says "Lets do an entire campaign exploring the underdark".
The majority of the time you're probably going to spread the bonuses over more then 1 terrain - which would reduce the absurdity of it and make you more of a 'generalist' (albeit only slightly).
Bear in mind you only get to Dominate 3 terrains - so choose wisely. Terrain dominance also has some nifty other benefits so you could in theory stack your bonuses towards 1 terrain but dominate 2 others for the other benefit (Astral = Dimension door/Desert = Fatigue/exhaustion immunity plus fire resistance 10 I think).
I read somewhere that a very high percentage of monsters from Bestiary 1 are from Mountainous terrain - making that an obvious choice.
Ok,
Barbarian 15 (+15), 18 Str (+4), Mighty Rage (+6 STR), Str Belt (+6), +3 Furious Greataxe (+5 when raging), Reckless Abandon (+4), Surprise Accuracy (+4), Desperate Battler (+1) for +35 to hit.
Add to this the Auspicious Mark ability and one attack could possibly reach +41.