Just in case you dont understand what you are looking at..... (and that is not meant in a derogatory manner)
The host in question lists their shared plans at:
http://elysiumnetworks.com/services/shared.html
and their dedicated plans at:
http://elysiumnetworks.com/services/dedicated.html
All their shared plans are Linux... So they will not support ASP.
On their dedicated plans they list predominantly Linux but also state that Windows platforms are available.
ASP is proprietary to the Windows IIS server (although there are various dlls now available that can run ASP outside of IIS..they are not widespread by any means).. So the host in question supports ASP on their dedicated server plans.
Now I have a question... Why the hell do you want to run ASP ?? IIS servers are the ones that most regular businesses use, so they are attacked much more often and therefore have their security holes publicized the most.
Most website hosting anymore is Linux with Apache. For security and suport that is where you are going to find your best deals.