Breeder reactors are definitely interesting avenues that I wish we'd gone down from the beginning.
Still 300 years of storage isn't great. It is still a duration of time longer than the US has been a nation.
But its not like you need tons of active management of that waste. Its literally stuff that stands around and does basically nothing.
You could literally just put that waste somewhere in the desert, put it there and leave. The chance that that waste ever actually harms somebody is basically zero.
Basically any cave that isn't likely to flood with massive amounts of water is fine.
> Breeder reactors are definitely interesting avenues that I wish we'd gone down from the beginning.
You don't even need a Breeder for this, a Burner can get there as well.
With fission you can easily go down to 300 years of storage, this has been known since the 60s but that's often ignored.
Waste is only a significant problem if you want to make it a problem.