That's what I do - run the omnibus package sans fancy helm chart - and it works out pretty well.

Can second that. Hosting a instance for our (quite small) dev team on a kinda-small VM and the GitLab Omnibus Package has been one of the nicest (while biggest) piece of software to administrate. Updates are super smooth, the things we use seem to be stable over the last two years. Only three unplanned downtime’s in that time and all because our hoster is plain terrible (hi Telekom!).