Now say that like my colleague Mark you like programming and find a website framework that you like.
How about building your own site generator?
Read how Mark created his own R-based site generator using Zurb Foundation as a powerful templating tool.
For further inspiration, since the distill package is also an R-based site generator, you could have a look at its source, in particular how it makes the most of R Markdown websites. You could also inspect the pull request that added an R Markdown site generator for hugodown sites to hugodown.