Working through the Entirely Too Many Linked Lists book in general is super helpful, since it deliberately runs into the cases that are hard.
Implementing a hash table in Rust would probably be fine as a toe dip too. It's that multiple-references-to-each-object part that really burns you in the doubly-linked list case.
These are probably the two best sites for small, exercise training programs in Rust. Once you've gotten through a few of them, you'd probably be ready to build something useful, which might be more interesting.