The heroic version of the Trial of the Crusader raid instance should be available this week to guilds who defeated Anub'arak. Earlier this week, Daelo explained how the Tribute Chest works in this mode :

Quote from: Daelo (Source)

In the Trial of the Grand Crusader (ie Heroic Trial of the Crusader) you have 50 attempts total before you may no longer attempt encounters for that week. Example time!
Example 1:
If you spent 39 attempts on the Northrend Beasts encounter, you would have 11 attempts left to try Lord Jaraxxus. If Lord Jaraxxus was then beaten after 5 attempts, you would have 6 attempts left for Faction Champions and the other remaining encounters.
Example 2:
If you wiped 50 times on the Northrend Beasts, then you're done for the week.
Example 3:
If you didn't wipe on Northrend Beasts, Lord Jaraxxus, Faction Champions, or Val'kyr Twins, you would have all 50 attempts available for the final boss.

The heroic version of these bosses should be a lot more challenging than the one we saw in the past weeks and I will start tracking world first kills for them.

Trial of the Crusader Loot List