This app was mentioned in 5 comments, with an average of 1.00 upvote
That's not how it works on T-Mobile so I'm assuming it doesn't work that way on Verizon, either. If I have DND on, I receive the text, but there's no tone nor vibration.
If someone with Verizon service doesn't chime in, you could test it yourself by downloading Sideline and texting yourself.
Have you tried Sideline?
https://play.google.com/store/apps/details?id=com.sideline.phone.number
What about the app sideline
edit nevermind. They require a subscription to port the number out.
I think he means this Sideline.