I sold my 70-300 DO and bought a 70-200 f/4 IS, which I love. But I'm missing the length between 200 and 300. Now, I have my Sigma 80-400, which is a good lens, but I find it's too heavy (it's 4.25 lbs with the tripod ring) to carry around and use handheld with any success. I also have a Canon 1.4 II teleconverter.
So my question: should I use the 70-200 with the extender to get the reach I want, or invest in a 70-300 IS? Or do strength training and use the 80-400? 
I'm most interested in sharpness and IQ, and would be shooting birds and the occasional moose or bear. And I handhold almost exclusively. Right now I can't get an infocus shot with the 80-400 to save my life just because of the weight. So I've ruled out a lens longer than 300, which means I need to be able to crop.
Hence my problem... What would you do?

