Hi Patlamb,
You can surely go ahead and keep your E-mail addresss while cancelling your internet services.
With Verizon you would have 2 E-mail address listed below
1>Verizon.net e-mail address
2>AOL/MSN/YAHOO E-MAIL ADDRESS
1>If you want Verizon.net E-mail address you just need to sigup for Verizon domain at http://surround.verizon.net/Shop/Utilities/VerizonYourDomain.aspxfor $19.95/year.
2>If you want AOL/MSN/Yahoo e-mail address woth you new service provider you need to check www.trueswitch.com for futher information.
Also we also you can downgrade the DSL to a low cost dail-up upto $9.99/month to secure the Same e-mail address.
Thanks
Helpdesk