I'd use a SOCKS proxy for that. On your local machine run:
ssh -ND 3333 remote_server
Then temporarily configure your web browser to use localhost:3333 as its proxy.
In Firefox the setting is under Preferences -> Advanced -> Network -> Connection
Since this is only temporary, but something you might want to do from time to time, consider one of the numerous browser extensions that help with this. For firefox, I use the Toggle Proxy addon to toggle between no proxy and the manually configured one.
Hope this helps,
Kal