I'll probably get drummed out of the secret society of network managers for giving this away, but here goes:
DNS is used to convert nice cuddly-wuddly human friendly names such as
www.avforums.com into IP addresses that machines like such as 195.177.192.202
Computers like number, and IP addresses are what machines really uses.
To avoid using DNS, simply use the IP address instead. Try it if you like - stick
http://195.177.192.202 into you web browser and you should end up back here (at time of writing - IP addresses do change.)
So to "avoid" using DNS, do the name resolution manually and use the IP address where you would have used the name. Easiest way to do the name look up manually is to open up a CMD prompt, ping the name and see what IP address it resolves to.
Of course, if your ISP forbids VPN use and you go ahead and use one anyway, by whatever method, you could find yourself in a "breach of contract" situation.