You should totally force new recruits to grind six sets of dailies every day. That way they can unlock everything, afford nothing, and have no more content to keep them engaged. Now they can grab that 6 ilvl upgrade in two weeks by just running LFR and one dungeon per day. They can gear up again another two weeks later, and another one two weeks after that. This is all assuming they last the three weeks it takes at maybe 2.5 hours a day to get all that done. If not, you can repeat the cycle when they get burnt out, and you need another set of undergeared raiders.
OR! You can do something more cost effective (and daily free!!!!!!) by upgrading the iLvl of your current gear. Maybe you can finally kill something with your somehow battered, beaten, and subjugated group of misfits. You'll get a whole extra 2 item levels too!
Additionally, if you're progressing in heroic content, you have the materials available to craft upper-tier Blacksmithing, Leatherworking, and Tailoring gear. Feel free to shard unneeded gear from normal modes, and craft something more useful. After all, mats aren't so expensive when you get it right from the source.
I've already demonstrated that though reputation gain is variable, Valor gain is linear. It doesn't matter how fast you grind reputation, your gear is hindered by the Valor cap. There's nothing you can say to make that untrue. You're forced to farm Valor far more so than you are dailies.
If your server lacks geared players to replace the ones that burned themselves out trying to grind everything, your server suffers from a greater problem than 'loldailies'