I would think using transitional phrase would be akin to using the oft maligned "was". It's not the use, rather the overuse which becomes the problem. Let's face it, we live and talk in a world where the transitional phrase evolved as part of our language. It serves a purpose like everything else, but, of course can also become a crutch like "was" when taken for granted. If the transitional phrase is limited, it will become as invisible as "said" being used as a speaker tag.
There are lots of ways to mix things up to avoid the transitional phrase to limit its use much as rewording sentences to restrict the use of "was" to those times where nothing will do the job as well. As mentioned, dialogue can be a great way to rearrange things, but that too can be rearranged to showcase things differently. For example, Deck's version could perhaps be changed slightly to more align with your vision:
***
"... solely in the hands of___" The shock wave rocked Joseph on his feet. "What the hell was that," he yelled as prisoners fled from their cells.
He thought he heard "Explosion!" through the wailing siren and ringing in his ears.
***
Or such.
No one way to make everyone happy, just try various alternatives until You are satisfied with the words read aloud. As with anything, a pinch of salt is generally better than a shaker full. And a little pepper may be even better. Just my opinion. Take care. Vern