Hot air balloons lifting bridges in volcanic areas are possible?

In this world, there is a land isolated by a lava line, and the only way to get in there, is across a bridge levitated by hot air balloons.

I had the idea of making a wooden bridge being supported by those hot air balloons, which would levitate through the warm air of this volcanic region. However, I know that balloons can only levitate if the air around them is colder than its interior. So I had the idea of using pipes of some light metal (such as aluminum) that would connect the hot air of the lava to the balloons, which would be at a higher, but steady, height.

Would it be possible? Or just impractical? Since it would be easier to make small trips to the place?

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Hot air balloons lifting bridges in volcanic areas are possible?

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