I run a web hosting business and have been in IT for 15 years, supporting individuals and small businesses.
I do NOT have experience with setting up the PTR in Azure, but I just pulled up the docs and it's not a big deal.
Since I run a web host, I do have extensive DNS experience. Once I set up the PTR record in Azure, I can ensure your other records are OK over at noip and resolving fine.
If you don't come across someone with this specific Azure experience, I'm here.