Delegate Barro is not at his registered address, when the city watch goes looking for him. That's not very surprising, because wanted men rarely are, and also because lots of people are temporarily displaced after the riots last night. Whether displaced or on the run he didn't stop by his room first. His stuff's still there - a couple changes of clothes and a purse with a fair amount of coin in it. Arnau and Carlos split the coins but leave the clothes. (They'd have some resale value but he'd have to actually do the work of reselling them.)
They'll try the temples, next. Leaving his money behind suggests displaced, and not on the run, and displaced people are mostly at the temples. They'll try the big one to Abadar first, since it was mentioned in the archmage Naima's city-wide message.
"We're looking for some missing delegates who haven't made it to the palace yet, anyone here a delegate?"