Cannot receive SMS messages on cellular iPad, can't verify phone number without being able to receive SMS. Help!

I have an iPad I'm trying to set up for business purposes. I created a new Apple ID because I don't want this iPad to have access to all my personal accounts. The iPad is cellular capable and I bought a text/data plan for it. My problem is this: iMessages will only send through my email address, not phone number which I don't want. I want to send SMS through the phone number I purchased for this iPad. When I go to Settings>Messages>Send&Receive it ONLY lists my email with no option to add a phone number. I have tried to add the phone to my Apple ID but when I do it sends a security code text to the phone number, which I can't receive. I feel like I'm losing my mind. Can someone please please help?