Forge Quest Tournaments - How to get more variety?

[Zarator]

I've thoroughly enjoyed the Quest Mode, but one gripe I have with it (aside from the difficulty in finding certain sets on the shop, such as Modern Horizons, Oath of the Gatewatch and the Time Spiral block) is the lack of variety in the Tournament list. All I see on it are mostly Alpha and Beta draft tournaments. I remember seeing a couple Revised ones, and a Shard of Alara one too, but it's mostly Alpha and Beta now.

Is there some way to refresh the list to see more sets? I'd like to draft some of the more recent sets in my Quest mode.