Children at that age often understand a lot more than we give them credit for, particularly non-verbal cues such as tone, facial expressions, and posture.
Rather than trying to revise how you use language, to add particular weight to the word "no" (in my experience, it is easier said than done to replace such a common and fundamental word with other terms for all but the most serious situations), try reserving your sternest face and tone of voice for those situations.
Most importantly, follow up by getting down to your daughter's eye level (after chasing her down if she runs away), ensuring that you have direct eye contact, and then tell her calmly, but without smiling, that she has to listen when mommy and daddy tell her not to touch things, because some things are dangerous and can hurt her, and you don't want that to happen.
If you do this consistently, it takes the fun out of the game for her. She'll see that you are not happy, and pick up on the fact that she's crossed a boundary.
It took maybe half a dozen repetitions with my son when he started doing the exact same thing, but now he quite clearly understands that when mommy or daddy get the "serious look", he needs to stop.
Just be consistent and persistent, and don't use the same stern tone and follow-up for trivial infractions.