Doing it as {vIje’ rIntaH jIH} only makes sense if, given that written Klingon as we know it is phonetic spelling of spoken Klingon, somehow {rIntaH} has become a Type 10 suffix, so it always follows the verb and its other suffixes, and any subject would follow it. Otherwise, I see no justification for {rIntaH jIH}, since as a sentence, it would have to be {jIrIntaH jIH}.
If it's acting like a suffix, then it's surely acting like a type 7, namely, the {-ta'} that it's replacing. Since we have no examples of a type 8 ({-neS}) or type 9 following {rIntaH}, and the way we write Klingon is a phonetic transcription of how it's spoken, {vIje' rIntaH jIH} might as well be {vIje'rIntaH jIH} where {-rIntaH} is a two-syllable type 7 suffix. Indeed, since {ta'} "accomplish" and {taH} "continue" are verbs, one might speculate that they were verbs which became suffixes. Perhaps {rIntaH} is undergoing a similar evolution, but has resisted full assimilation as a suffix because it's two syllables.
But until we have a canon (counter)example either way, we can't tell.
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De'vID