The way I phrased it was confusing, ignore everything I've said with the exception of:
Running a proxy connection for your skype does not protect you from the effects of a DDOS directed at your IP. It would mask your IP, stopping people from collecting it via skype, assuming that they haven't already got it. From the sounds of it, there will be a proxy provided for players in the twink cup. All I am saying is that the idiots doing this have more than likely already got the IPs of members of the 19s community.
Calling your ISP to ask for a new IP is generally not easy, they have no real reason to even want to help you. I suppose you could unhook your cable modem for a day or so and then hope it leases a new address when you hook it back up.
The reason I was suggesting that you would tunnel all your traffic would be that if you played (and skyped) from behind a VPN, assuming the VPN provider isn't shit, you would have a better chance of avoiding the effects of a DDOS (they have technology and additional bandwidth availability to mitigate the effect, depending on the size of the botnet being used). Services like PIA allow you to change which region you are tunneling through, so if they actually decided to DDOS the USEast IP that you appear to have, one one merely need to change to USCentral. New IP, no more DDOS.