TinyTeX is a custom LaTeX distribution based on TeX Live that is small in size (about 61Mb on macOS/Linux, and 94Mb on Windows when (g)zipped), but functions well in most cases, especially for R users. If you run into the problem of missing LaTeX packages, it should be super clear to you what you need to do (in fact, R users won’t need to do anything). You only install LaTeX packages you actually need.
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I’ll be sure to give this a shot! I’m not particularly picky about program size (ConTeXt is even bigger than TeXLive iirc) but I appreciate the improvements over MiKTeX especially!