I don’t know how you or your table feels about third party stuff but Indestructoboy has a a Runekeeper for 5e that is heavily influenced by the 4e one (I’ve never played 4e so I can’t verify this myself.) It looks very awesome and you might like it. It is not free but you can download a preview of the whole thing for free from the dmsguild site (so basically free).

Here’s a Youtube Video where Indestructoboy goes over it.