EDIT:

 

>Lagged out once

>Forgot to load one beacon

>Used maple logs

>Didn't use keepers

 

>Got Adze

http://www.tip.it/runescape/?page=beacon_network.htm

 

I used this guide, only paid the first 3-4 guys. I used yew logs. I didn't quite time myself but I think you should easily make it.

Ok, so I don't need to pay any of the western keepers?

You should be able to light all the beacons without paying any of the keepers if you fill all of them with logs and do the necessary repairs beforehand.

There is only one repair which I haven't done yet, but I will do it when I go to load that particular beacon.

I used the tip.it guide, did all the repairs, paid all the guards, used yews and got it on first try.

Be wary that the Wildy graphics update changed the fence around, so the gate by the Ice Plateau has now disappeared, making the two northernmost beacons significantly slower to light. I think the best way now is to get the northern one with the Lunar teleport (which lands you on the north side of the fence), run into the Ghorrock fortress to get away from the Wildy's teleport restriction, use Spellbook Swap, and then use the Ancient teleport (which lands you on the south side of the fence) to get the southern one.

Yeah.... 84 magic.

Well, there is a great guide on RSwiki that I used. And really only teleports really worth it are the games necklace and goblin village ones, since you can run to all other ones. Specially with the boost from Oo'glog. I did it on my first try without any keepers with magic logs.