2 weeks trial of capping total post rewards is well worth a try. Whales would have to spread their rewards out over a greater number of posts. Perhaps implement the cap as being effective after a blogger has already received rewards over $500 for 2 posts, this way every blogger has a chance to score big at least 2 times.
@craig-grant, @ned - this idea is worth looking into. At a bare minimum it will force a spread of rewards to other deserving posts, even if it's just a small effect. That effect will ripple because the handful more that are helped by this will be motivated to continue on and do their best to spread it to others.
Too much power in too few hands right now. That's the hierarchy of government and major corporations. Not a look we want.