How best to grammar check / improve writing in a LaTeX document?

LaTeX is a typesetting language that scientific papers and things like dissertations tend to get written in. It produces nice-looking documents but also can be kind of tedious to work with at times. The extra formatting-related commands tend to make things like spell-checking and grammar-checking more complicated. How to fix?

Spell-checking isn't too difficult - as command-line tools like aspell support this and the LaTeX editor I've been using also has spell-checking support, though it sometimes gets confused by commands.

So far TextLint is the only grammar-related tool I'm aware of which works directly with latex code. (False positives galore in error detection!) Everything else seems to require that something like detex be run - though latex2rtf might be a better way to get the documents into Microsoft Word or into OpenOffice (where I've installed LanguageTool). There are also some command-line tools that'll work directly on detex output. Still, it would be nice to have a grammar/style-checker working directly on the source code. Anything else out there that I might be missing?

(UPDATE: looks like I might also want to take a look at TeXstudio)