The Klingon Dictionary's appendix of Useful Klingon Expressions includes this example:
"I wasn't there." {pa' jIHpu'be'}

If you want to use an aspect suffix, this shows the {-be'} following one.

If you're prepared to base further discussion on what exactly the distinction in meaning is between {-be'pu'} vs. {-pu'be'} or {-taHbe'} vs. {-be'taH}, then I think you have hit on the best answer: choose your words based on what you want them to mean.

-- ghunchu'wI'