I love the Amurites nearly as much as the Lanun however I've always had issues with them, I finally perfected my strategy with the Amurites and I thought I'd post it here. This strategy stunts your civ and your tech early for a huge leap in the end. Dain is the preferable leader for his Philosophical trait to help get more Great Sages.
Beeline towards Writing for the Great Scientist. *gasp* Actually use him as a Specialist in what you plan to be your big science city. Get working on cranking out the Great Library in that same city and using the ability to pump Great Sages in other cities to feed your science city Great Sages.
After you've done this turn around and now head up the magic route, make sure and grab the Catacomb Libralus in your best production city, which is most likely your capital with God King. Don't waste production on Mage Guilds in other cities, focus on building up some warriors to deter the AI from attacking while your prepare yourself. These warriors will be invaluable as Fire Bows latter. Also don't neglect your Elder Council! Those +2 Beakers are precious to you, especially when calculated with the Libraries you already have.
Once the Catacomb Libralus is built take a time to build up your mage force. While it may be tempting to start dumping points into Fireballs and other nasty attack spells these are your golden ticket mages. Pump Spirit, Mind and Earth and make sure to get them to Sorcerer as quickly as possible for Spirit and Mind II. With these guys you have an extra 25% defense, +1 Happiness, +4 Culture and best of all +4 beakers. Once you've done this you can set about putting out some Adepts and working them towards blaster casters or summoning whores, but your first and foremost goal is to get the city helpers. DO NOT under any circumstance delve into Summon Skeleton, Haste or Dance of Blades, you'll regret it as your Hero who will be coming soon will pass out all the love to everyone, yes everyone! And in fact I recommend taking your horde of Workers and making sure they all have them. A Haste on a worker could save him from enemy horse and a Skeleton popping up will certainly give attackers pause.
Your next goal will of course be to get to Arcane Lore and put the Crown of Akharien in your science city, by now you should have no less then 5 Great Sages and there special academy and if your lucky you could have even more!
Govannon comes with the same tech as the Crown of Akharien so make sure and pump him out from your production city at the same time your science city is working on the Crown. Even though its a science city the number of Great Sages you have there should be perfectly sufficient in pushing the Crown out rather quickly.
Here you are, with this set up you will lag behind in various tech areas but if you've been trading your advancements away you should be pretty even with just about everyone else. However with Inspiration at every city and the Crown and all those Great Sages together (don't neglect Religious Scholar Civic!) you'll have a massive amount of beakers allowing you to get ahead in the tech race and run on 40% or less. Add in the Ashen Veil if you aren't surrounded by Good civs and this will help your beakers tremendously, but remember you want to avoid war until Govannon is in place, once you have Govannon you can raise an army of Skeletons sufficient to knock over most Civs, so using something else like Runes or Leaves to sway your neighbors is always preferable to the beakers granted by the Ashen Veil.