Internet Cuts Out Every So Often

I'm running Windows 7 Professional 32-bit on a Dell Inspiron 1545, using a wireless connection with a Verizon FIOS router and service, and for the past several months or so, my internet speed will just halt from time to time. It's not a sudden stop either, I'll be able to inform people I'm talking with that it's happening, and soon I'm unable to download or upload any information from anywhere. I'm signed out of instant messengers, disconnected from servers, and I can't load webpages.The downtime will last anywhere from 5 minutes to 30 minutes, and it will gradually return. No torrenting is going on, no downloads are happening anywhere on my network (as far as I know), I just have to wait it out. From time to time, there are even two in a row, having a few seconds of internet access before it's gone again.

I've included screen captures of some tracerts I've done during this 'lag spike' thing. I actually apparently time out to my own router. I honestly didn't think that was even possible.I have plenty of HDD space, no processes begin taking up incredible amounts of memory, everything looks as though it should be working fine. No other computers on my network have this issue, neither the wired one or the wireless ones. Disconnecting and reconnecting to my router during these times will not stop it, I will reconnect and still be unable to access the internet.I can't seem to find any solution for it. My antivirus programs don't find anything, and nothing else is happening that leads me to believe it's some form of malware, though I definitely won't rule that out.