I guess for a country wide you have to pay. But at least for some states you can get the geoid in different file formats, mostly not tiff, but that doesn't matter due to metashape can read most of the files. I'm using the GCG2016 from saxony in gsf-format, just because it's readable and not binary like for example the Trimble-Format, but you can use that as well.
Just search for GCG2016 at your states survey agency.
Greetings