I can pull them up any where except for my network. Any suggestions are welcomed.

SUG Have you checked the Host file, Router, Modem to see if the IP address and or the web address are not added into the block?
Have you booted into safe mode with internet and see if you can connect to the site?
Disabled firewall/AV/Securities to see if you can connect?
Reset the Browser (not restore)? Tried a different browser? Ran the browser with out add ons?
Check the Anti Virus and Firewall for blocks as well.
When you state that you reset what? Reboot router of factory restore?
Have you tried using the IP address to access the site do you get the same error messages?

SUG  Interesting issue...need some clarification before looking at potential causes though.
Need to know, are we talking about multiple devices on your network all seeing this issue, or just a single device?
When you say you are able to access on a different network...is that with the same device on both networks?

Have you done a tracert to see where it is failing

Not sure, but it seems as if your ISP Provider may have been black listed by this one specific web host. I would try getting in contact with the web host to see if this is the case. I know email servers will get black listed, not sure if this is the case here though

Try changing your DSN address to Googles DNS servers for a test  -  8.8.8.8 and 8.8.4.4 .

or openDNS servers at -  208.67.222.222     208.67.220.220

ipconfig /flushdns.........then see if you can do a nslookup on the site. If you can its not dns related at all.

Just a note, trace route (tracert in DOS/Windows) may not necessarily work...it all depends on if there is a firewall blocking ICMP Echo Request (aka ping) in the path or not...as tracert uses ICMP Echo Request with an incremental TTL.
There are two things we really need to know:
1. Is this happening on just one PC on this network, or all PC's on this network.
2. Does this issue follow the machine when moved to another network.
If the issue does not follow the PC when moved to another network then there is most likely nothing wrong with the IP stack on the PC, and most likely no software (browser/software firewall) issues.
Seeing output from PING and NSLOOKUP wouldn't hurt but knowing the answers to 1 and 2 above will really narrow down where to start looking for a problem.

Might try COMODO's Secure DNS servers...
8.26.56.26
8.20.247.20
You should see a place to enter custom DNS servers in the Internet Settings section of your router.