#1 on HN on Saturday was about 150/min sustained. That's not even 3 per second. What in WP makes this an issue, or is it just running WP on a shared instance on a wimpy server. Or is it some config in WP that you need to change?
Some web sites are limited by a fairly paltry network usage limit, not by throughput of the server. I don't think you can ever assume that a privately-held domain can cope with unaccustomed traffic, even if it is only 3 per second. Seems to be responding well now, anyway.