Dave, I bought BOC regulators, I bought two so I could have two bottles going without stuffing around swapping all the time, I think they were about $90 each. I have an Argon bottle and an Argoshield. The reg says for Argon but it works with any Argon mix such as Argoshield. Anyway, I'm not doing much welding in the next couple of weeks as I am waiting on parts for sidepipes, so you're welcome to borrow one of the regs to confirm that your reg is the problem, if you can be bothered coming to get it you know where I am.
Both regs are only weeks old.
It's odd that you're melting tungsten though. If I forget to turn on the gas (which I have 3 or 4 times) with the TIG it instantly blows a hole in the work piece but I have never melted the tungsten.