Ok lets start...
So as i understand.. bigcustomer.com is one of the domain where you are not able to send mails Right?
do this...on command prompt
nslookup
set q=mx
bigcustomer.com
.... does it give you the MX of that domain with the IP ?
Please paste the results here,...
then do telnet to MX of bigcustomer.com
telnet MX/IP 25
- what does it do...? connects and gives you banner>? or doesnt connect?
if doesnt connect may be you are blocked some wehre..
let me know the results and i wil help you further./..
:) Suraj