There's no mining API on port 80, because of technical difficulties. What's the reason that port 8332 is blocked on your side? Are you behind corporporate proxy?
I'm not entirely sure, but that would be my best bet since it is at work. I know for sure that port 8332 is in stealth mode from an outside port tester "Shields Up!"
I may just be SOL. And I had 35 6750M's to run...
I'm pretty sure vpn is also blocked, but port 443 is open. I can connect to my home computer on 443, could that be useful? Client with miner mac10.7 home windows7.
This can be done, fairly easily, but you'll need a basic grasp on networking. Port 80 is obviously open, so time to get creative in routing things through port 80

Port 443 is open due to SSL.
Create a server off site, or use a remote service that accepts connections on port 80 or 443 and you're set to go (you may need an internal proxy server routing the traffic outward through 443 or 80 if you have 35 seperate computers)