How do I get the LFR tier set?

Not sure what class is your main, but Warlock in particular you can throw gold at the problem as the shoulder and belt BoEs from the raid both share the Warlock tier appearance.

If you have Priest or Mage alts it might be worthwhile still to farm LFR as there are cloth bracer and boots that drop in the raid that match the Warlock tier appearance.

With those drops and tier you would only need to waste a catalyst charge on a veteran track cloak to get the full Warlock set.

But it’s honestly pretty easy to level an alt; that alt will have 7 catalyst charges as of now to use.