Is there anymore to the usage of なんか that isn't saying "something", but rather something like, or along the lines of? I know the two are very similar, but using なんか at the end of a sentence seems to be very clear syntactically, while using it to modify a noun seems weird, especially given the か at the end- further kanji isn't generally used, I don't think. So is there more to it? Is there a more formal way of saying it that would make sense syntactically?
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My answer will be based on the assumption that OP is talking about when 「なんか」 is indeed followed, not preceded, by a noun as s/he so states in the comments (but not in the question).
In informal conversation, there actually exists such a structure.
For instance, I have little appetite when I have a fever. Since I do not want to eat a regular meal, I would say to someone:
In this sentence, your TL "along the lines of" is spot-on. Note that in this case, 「なんか」 can be replaced by 「なにか」.
Just in case, I will briefly talk about when 「なんか」 is preceded by a noun. There are two main usages of this structure.
1) Citing an instance.
2) Making light of something.
Note that when 「なんか」 is preceded by a noun, it cannot be replaced by 「なにか」.
It can be used in front of adjectives to convey the sense of "somewhat" (e.g. なんか強い = "somewhat strong"). Is that close to what you're getting at?