Hi @adwyer; welcome aboard and sorry to hear you're having issues with verifying your email address with us.
Truth is that when you request to verify your email address, you will receive an email from no-reply@dropbox.com with the steps to verify your account.
If you don't receive an email after a reasonable amount of time, please check your spam folder (again) to ensure that no-reply@dropbox.com is not blocked.
Note that you can also add no-reply@dropbox.com to your address book and request another email verification email.
Let me know how it goes!