You can get a large amount of almost any liquid onto a plane in your carry-on so long as the label is somewhat official-looking and identifies the contents as being medical supplies. Get one of those contact lens caddies and pack it with a 12oz bottle of ReNu and see what happens at the TSA checkpoint. They'll likely just set it aside. If not, you're only out $5 or something. That ReNu bottle could be full of nitroglycerin or kerosene and they'd never know.