I have not published with RA, but that is mainly because I use their editing service, and from what I understand, they don't take on editing clients due to conflict of interest.
I do want to say that their editing service is top-notch. Truly the best value for your money. Lynn and her staff are kind and extremely professional in everything that they do.
Even though I have not published with them before, I would not doubt that they are quite reputable in this field, as well. I cannot speak for their authors, but I would imagine they are quite happy being able to work with such an amazing group of people.
I get Red Adept's newsletters, and they promote their authors' books (both new and old titles) in there often. They also have a section in the newsletter where their editing clients can promote their books, too. They also promote their published authors on social media sites like Facebook. I have purchased one of their authors' paperback books a while back, and the formatting and book cover was very professionally done.
As far as I know, they do not distribute to physical bookstores, as I've not seen any of their books there.
They also have a new Romance/Erotica imprint called Cinnabar Silk.
Not sure this information would be of any use to someone who is trying to publish with them. My only advice is that if you DO intend to publish with them, then DO NOT use their editing service.
Here's the FAQ about their process on their page:
http://redadeptpublishing.com/publishing-faq/