If you’re writing for a client and are told to allow “that” to represent a person, breathe a sigh of relief: doing so doesn’t break any rules.
You want to keep your readers engaged with your writing to the end. One way to do this is to use more active voice and less passive voice in your writing.
What’s a participle and how on earth would you know it’s dangling? A quick grammar lesson to help you fix danglers and say what you mean.