Prayer without intention

Question: Lately I have found myself in a situation where even before the prayer I know very well that I will not be able to direct my prayer. Perhaps I will somehow succeed in directing myself to stand before God, as Rabbi Chaim's innovation suggests, which could be sufficient (?), but even that is not certain.
My question is, since I remember Rambam in the Laws of Prayer ruling that "if his mind is disturbed and his heart is troubled, he should not pray," is it possible to act in this way today in practice?
Another question, assuming that the halakha does indeed recognize prayer without intention (as the scholars of the Torah who renewed the opinion that today it is realistic not to require the repetition of prayer without intention since no one intends, believed that there is apparently room to disagree with it – since it would then be ruled that no one should pray unless they intend, but not that intention is not required at all), is this halakha considered "permissible" (as opposed to the Maimonides' prohibition), or does it become obligatory after it is permitted anyway?
My question, of course, stems from a perception that is very strongly supported emotionally, that there is no point in such a prayer, but if there is nevertheless an absolute obligation, then I will accept it.