Explore Draenor with Combat Bot on and walk around by hand.
Loremaster of Draenor is completed using Kick's 90-100 profile pack. (Included with the profiles within Honorbuddy itself.)
Securing Draenor is completed by doing the Apexis dailies. I got the
Scouting Missives pack from Reviir off the Buddy Store. Just gather 2200 Garrison resources and pick up the daily and the 11 other missives from the dude in your Garrison and do them all.
Master Treasure Hunter is completed using
KBK2006's profiles. You only need 100 treasures out of 200. This was a life saver profile as this achievement was the most boring thing ever.
Tanaan Diplomat is completed by doing two profiles. The first is
nooblar91's Saberstalkers rep grind profile. (This one took me about a day to grind from barely into friendly to Exalted and you only need Revered.) And finally I got the other two reputations from running the Tanaan Jungle dailies for 2 weeks. The profile for that is another from the Buddy Store (another Omation Creation by Reviir) called
Tanaan Jungle Assault Dailies and Bonus Objectives.
You will not really be prepared to do the Saberstalker rep grind with a fresh level 100 until you've front-loaded some iLevel 650 (Baleful) gear (or better). The Baleful tokens drop randomly from the Tanaan Jungle dailies though so you will iLevel up in easy mode if you are under-geared. Save your Apexis crystals for the upgrade tokens (20K crystals each) and you will be able to upgrade the Baleful gear to 695.
Doing everything I said above got me from 90 to 100 and iLevel 620ish to 680ish. You'll be ready for Mythics by the time you finish out this achievement.
Two weeks and about €21 ($23.68 USD) later and the Rylak mount is mine. (If you can't afford to buy the profiles, make your own.)