AscentialTest from Zeenyx Software will have no problem with dynamic data.

We're a little biased towards AscentialTest ;-)

Are you looking for a single solution that will test the same application deployed across the multiple platforms that you mentioned? Or are you testing different applications on the platforms mentioned?

We recognize that many of our customers are trying to reduce their costs by using lower-cost or open source solutions for some of their ALM components. That is why we have built integration with Jira and Jenkins into AscentialTest.