You could look into using the Verizon integrated messaging instead.
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.
What a great question! I'm sure you don't want to miss any important messages while waiting for your phone.
You can definitely try integrated messaging as Ann154 mentioned. It doesn't forward the messages, but at least you can stay in the loop.
Follow us on Twitter @VZWSupport