Absolutely. The two important questions here are why use an ISP's email and why use Verizon? While it would be wrong to talk someone out of dumping Verizon for any reason, no matter who you use for an ISP it is nice to have a better email service and not be dependent on your ISP for email. As this post indicates, you are hesitating to dump your ISP because of the hassle of changing an email address that all of your contacts already have. If you were using a third party email then you could change your ISP provider whenever needed without having to change anything with email.
And in addition to getting a real email account that is free of any ISP, I could also suggest that you use a free forwarding service such as spamgourmet.com. That will let you give out a unique email address to every commercial contact that insists on an email address and even to each of your friends. When spam hits you can just close down the targeted forwarding service addresses rather than abandoning the entire main address, and you can easily see which organization that you gave an email address to is sharing or leaking your information to Russian Porn Spammers and pill pushers. Knowing who leaked your email can be surprising and extremely helpful.
Even giving a unique email address to each friend is a good idea. That way if one of them clicks on something stupid ad exposed their entire address book to spammers, the spammers only get an address that you can disable, not your real email address. And if you decide that you want to change email providers, you are free to do so without the hassle of notifying everyone about the email change, you just need to update your record at the forwarding service.