335 is ok and certainly playable, but if it is going higher than that on broadband, then that would be the cause of your lag. That is the time in milliseconds for information to go from your computer to sony and then back to your computer. Basically, it is taking just over 3 seconds.
I'm guessing you get Verizon through your home phoneline and not your cellphone.
With DSL (that is what you have if it is through your home phoneline) the speed you get can be affected by a few things. How far away your house is from Verizon and also old or damaged phone wires inside/outside your house can sometimes have bad effects like this.
There are a couple of things you can check. Make sure the DSL modem (The verizon box) is connected to the first phone line that comes in to your house and not on the end of a phone extension cord.
And is there a wire from the Verizon box to your computer, or are you connected by wireless to it?
I use wireless, and sometimes it lets me down. Verizon have made a page with some checks on it that you can look at
http://www22.verizon.com/Residential...sOne/88005.htm
If all that is fine, you may want to give Verizon a call 1-800-567-6789
And that number can be found on their page
http://www22.verizon.com/Residential.../contactus.htm
I hope this helps you.