FYI, DNS has nothing to do with your connection speed and everything to do with how fast your computer can look up the IP address of the name you typed in your browser. Changing your DNS settings will not in any way improve the speed of your connection, but it may improve the speed of your surfing experience. Let me explain.
When you type a name in the address window of your browser and hit enter, your computer contacts a central directory called a DNS (Domain name system) server. The DNS server translates your request into an IP (Internet Protocol) address similar to a house number in a street address. So lets say you type in
www.dr1.com. The DNS server knows that
www.dr1.com is located at IP address 69.41.238.242. This is the only way the servers on the internet know where the domain name is located. Once the address is located, your request can be sent to the server so that your page can be loaded.
The problem you are having is that the DNS servers they gave you (the 196 numbers) are not working properly and my guess is they are overloaded. This means that yourrequest is wating at the DNS server to be translated into an IP address. Until that is done you don't get your page. You should also know that you don't have to use Verizon's DNS servers. There are literally thousands of DNS servers that you could use if you need to.
A word on speed tests. Most internet speed tests are highly unreliable because they send a tiny bit of data through the web and measure the time it takes to return it. The route the data takes can and will be different every time the request is made, and that route will dictate your overall speed. You can get a general idea of your speed from an online test, but don't call your DSL provider complaining if your test doesn't agree with the speed you purchased.
More info on DNS can be found at
Domain name system - Wikipedia, the free encyclopedia
-Tim