Rachel,
For a dance bra, regardless of the type of embellishment or what you wear it with, you need some degree of firmness. Replacing the elastic chest strap with a nonstretch strap means that you are supported without putting the stress on your shoulders. This increases your range of motion in the upper body and gives you the support you need for chest articulations.
You might want to take a look at this design for a choli type top with decorated bra built right in
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Souzan