[loreangelicus]

Too bad I'm swamped with work right now (probably till end May) to finish my game, else I could give you exact enemies to take out, and which sequence to chain fight them. Given the current situation, I could only give the advise below.

Actually, I found very little empirical info here with regards to when to use the AK scrolls. I could give you more definitive advise as I continue my existing high-score run. Basically, you should start using them at Montero/Verona; the following is a list of battles and the XP tied up to them (note that I have +50%XP to begin with from items and skills for all the battles listed below, so battles with AK on adds +50%XP on top of this, effectively doubling the base XP):

MONTERO:
Xerxes - 6,042 (no AK on)
Hungry Beast - 5,448 (no AK on)
Hagni - 11,004 (AK on)
Thomas Torkve - 8,498 (AK on)
Crazy Miner - 8,661 (AK on)
Iron Fist - 9,521 (AK on)
Fangol - 15,649 (AK on)
boss Driller - 20,701 (AK on)
Necromancer Mesmer - 7,215 (AK on)

VERONA:
Arnold Heningem - 18,771 (AK on)
Marquis of Krause - 8,902 (AK on)
Demenion - 24,891 (AK on)

DERSU:
Hogan - 5,495 (no AK on)
boss Spider - ???
boss Frog ???

UZALA:
Koruskan - 10,667 (AK on)
Elenhel (when he rebels) - 15,315 (AK on)
Urh-Urh - 10,043 (AK on)
Rakush - 13,237 (AK on)
Weed - 11,425 (AK on)
Captain Krueger - 9,828 (AK on)

ELON:
Great Uchkuk - 20,425 (AK on)
Shenobi - 28,658 (AK on)
Rakatarh - 11,209 (AK on)
Kotor - 11,034 (AK on)
Shiva - 11,537 (AK on)
boss Zilgadis - 33,121 (AK on)
Uldara - 14,306 (AK on)
Moro Dark - 22,886 (AK on)
Professor Dambior - 13,156 (AK on)

NAMELESS:
Restless Zombie - 17,820 (AK on)
Vlad Vegeto - 16,626 (AK on)

REHA:
Sarkash - 25,433 (AK on)
Marakash - 22,753 (AK on)
Chief Harrus - 27,576 (AK on)
Ziraks - 29,718 (AK on)
Harrum - 26,551 (AK on)
boss K'Tahu - 41,401 (AK on)

If you have more AK scrolls, then below are the XP gains for the 9 regular enemies at Reha:

enemy 1 - 8,508 (AK on)
enemy 2 - 7,003 (AK on)
enemy 3 - 4,954 (no AK on)
enemy 4 - 5,192 (no AK on)
enemy 5 - 7,750 (AK on)
enemy 6 - 8,614 (AK on)
enemy 7 - 7,428 (AK on)
enemy 8 - 7,765 (AK on)
enemy 9 - 6,981 (AK on)

I've scouted Tekron and Sheterra, and they are both worth 1 whole AK each. The last AK in my path (using unicornXP's path) would be used for boss spider/boss frog/White Night/Dark Mistikus/Baal.

Note that my AK scroll count is limited, thus some of the battles above were done without an AK scroll on. If you happen to have more that enough to take out all of the enemies listed above, then you could use extra AKs on regular enemies at Sheterra and Nameless.

As for your question, I believe the fastest run which would still net you all 87 quests is 7 days. Adding an additional day (ie. 8 days finish) could not be compensated by adding just a single level; maybe 2-3 additional levels could do it, I'm not sure and I don't have time right now to crunch numbers using the high score formula.

Hope this helps.