Simply put, you need a better registrar. Namecheap should step up and edit your contact info to whatever you want, push out that ICANN email again, and let you

Simply put, you need a better registrar. Namecheap should step up and edit your contact info to whatever you want, push out that ICANN email again, and let you ack it. We've done this many times for customers. We also don't charge $5/yr for domains. But you get what you pay for. Sorry if this sounds harsh, but these things happen all the time with cheap i-services. If your business is a little more important, you need to pay a little more for exceptional cases like this.