How to solve the NEX7 lens dilemma?

I use the Nex7 and I also have a Canon 7D plus a few lenses for it. I thought about getting an adapter but thought otherwise. The one lense i wanted to use was by 70-200 f4. But i just don't like the idea of putting an adpater plus the big lens on that tiny body having bought the Nex because of smaller size in the first place. I honestly think that this type of lense fits much better on the 7D. Or even better a 6D (much better sensor).

I have tried a few legacy lenses such as Olympus OM. They are fairly compact but of course they do not offer AF. But my longest lense is 135mm (besides the SEL55-210).