I think I figured out the problem! I wasn't able to see anything because my return date is not available yet (more than 11 moths out). But when I put in a fake return date, I am able to see that Saver rewards are available!! You guys have just made my day!

Do Saver rewards sell out fast? I plan on booking them as soon as I get the points saved up and as soon as the return date is available. Probably in about 2-3 months.

Is it unlikely that I'd be able to get 3 of them? On the same flight?