Sega really gave up making anything meaningful for the Sol Dimension and made Blaze just a character who just happens to be in the Chaos Dimension whenever Silver has a problem in the future.
Let's fix that. Let's breathe in some ideas.
Blaze is supposed to mirror both Sonic and Knuckles, having her own "super" form being Burning Blaze while also protecting the Sol Emeralds like Knuckles protecting the Master Emerald
So, let's give her someone who is a mirror of Shadow and Rouge. Someone who has their own "super" form and is trying to steal the Sol Emeralds. And for funsies, let's call her Frost the Cat with their super form being Freezing Frost. What's HER backstory? What's she like? This could be explained in a full game.
Let's also get the main trio of this dimension: Blaze, Marine, Gardon. What are some adventures we can give these three? Perhaps the robot pirates and Eggman Nega pull what Eggman and Infinite did and take over the world and an all out war breaks out.
Maybe we can pull in characters who were used once or twice and never again (or are stuck in mobile game purgatory) just retcon some of them like Bark the Polar Bear being from Blizzard Peaks, maybe he's a good friend of Norman the Polar Bear.
And let's combine the last option with the idea of giving Blaze her own version of Shadow/Rouge by giving her a version of Silver, who has only been used ONCE and is from the future but of an unnamed dimension, let's make her from the future of the Sol Dimension, let's bring in Gold the Tenrec
Honestly, Sega has so much potential with a Sol Dimension game outside of Sonic Rush Adventure, that or make an animated show loosely based on Sonic Rush and Sonic Rush Adventures but bring more focus on the Sol Dimension rather than the Chaos Dimension.
Even some of the rival interactions between Blaze allude to a potential future to see the Sol Dimension if Sega ever actually decides to revisit her world
And it just disappoints me so much that we'll probably never see the Sol Dimension. There's so much that they COULD do.