Why did Braavos stop with hiding from dragonlords?

[Seaserpent]

In the world of ice and fire Braavosi celebrate there 111th bday by outing themself for the whole world to see and even wanted to trade with the dragonlords in valaryia and give them money for their loses (ships). They didnt want anything to do with them because they were exslaves. But why didnt the dragonlords try to conquer Braavos now they knew where they were hiding? And why in 111 years they never heard anything about them? 

[Back door hodor]

Reading the world book one gets the sense that the Dragonlords were actually much more interested/consumed with their internal politics than actual military expansion, especially after they had crushed the ghiscari, the only other power geographically close enough to threaten Valyrain intrests. Half of the free cities were founded by religious exiles, who simply wanted to live in peace away from the godlessness of the freehold. Others were founded to expand the trade operations of the freehold, but none of them were founded by actual dragonlords, and it is these, specifically Volantis that bring the freehold into their next war. So, volantis itself is losing, and calls the freehold for help, 300 dragons show up, after the Rhoyonar are crushed those 300 dragonlords we read about in the world book return to the Freehold, and return to their internal squabbles presumably, while non drgonlord Valyrians continue to advance westward founding the rest of the free cities and gradually displacing the andals(and most likely conquering/absorbing small parts of them).

Than the next event we are given to the targs moving to dragonstone, than Valyria blows up.

So, given another century or two(or possibly way less time) one of the free cities(at this point not really free cities actually but Valyrain colonies) would probably have come into conflict with bravos, the Dragonlords probably would have stirred themselves in a similar manner to the Rhyonar, and bravos too would have been crushed, but instead the Dragonlords destroyed themselves somehow, most like with the help of a faceless men backed slave revolt

[Seaserpent]

19 hours ago, Back door hodor said:

Reading the world book one gets the sense that the Dragonlords were actually much more interested/consumed with their internal politics than actual military expansion, especially after they had crushed the ghiscari, the only other power geographically close enough to threaten Valyrain intrests. Half of the free cities were founded by religious exiles, who simply wanted to live in peace away from the godlessness of the freehold. Others were founded to expand the trade operations of the freehold, but none of them were founded by actual dragonlords, and it is these, specifically Volantis that bring the freehold into their next war. So, volantis itself is losing, and calls the freehold for help, 300 dragons show up, after the Rhoyonar are crushed those 300 dragonlords we read about in the world book return to the Freehold, and return to their internal squabbles presumably, while non drgonlord Valyrians continue to advance westward founding the rest of the free cities and gradually displacing the andals(and most likely conquering/absorbing small parts of them).

Than the next event we are given to the targs moving to dragonstone, than Valyria blows up.

So, given another century or two(or possibly way less time) one of the free cities(at this point not really free cities actually but Valyrain colonies) would probably have come into conflict with bravos, the Dragonlords probably would have stirred themselves in a similar manner to the Rhyonar, and bravos too would have been crushed, but instead the Dragonlords destroyed themselves somehow, most like with the help of a faceless men backed slave revolt

yes could be what you are saying, but deserted slaves that start a new city is a bit of a punch in the face of the valyrians.