There's not a lot they can do about a synflood other than what they are trying to do right now. I have a site on here too, however my ISP also got hit just minutes ago and have finally got theirs back up. It would have made no difference if my site was local to my ISP or LP, either way it would be down. Yesterday while LP was hit, the Arkansas Dept. of Highway and Transportation servers were also being atacked. This is not just isolated to LP. I'm sure a lot fo others were hit as well.
It is actually getting a bit scary.