Or shard it - divide your objects up based on some criteria (hash the name of the object, use the first N digits of the hash to assign to a shard), and distribute them across multiple redis instances. Yes, you then need to maintain some client code to pick the right redis instance to fetch from, but you can now pick the most $/memory efficient instance types to run redis, and you don't have to worry about introducing disk read latency and the edge cases that brings with it.

Edit: looks like redis has some built-in support for data sharding when used as a cluster (https://redis.io/docs/latest/commands/cluster-shards/) - I haven't used that, so not sure how easy it is to apply, and exactly what you'd have to change.