Advanced Air Mobility (AAM) is a crucial component of future intelligent transportation systems, where Uncrewed Aerial Vehicles (UAVs) undertake tasks such as inspection, monitoring, rescue, and logistics. However, in the early stages of development, it is essential to coordinate with other ground transportation vehicles to address issues such as battery life, multi-UAV conflicts, and computational load, thereby enhancing system reliability. Consequently, this paper investigates an urban emergency response paradigm, termed UBT, where UAVs routinely ride on the roofs of buses for charging and inspection, and collaborate with surrounding taxis and those near emergency sites to respond to unpredictable random incidents in urban areas. Within the UBT paradigm, a multi-modal emergency response process model for a single UAV is established, considering the mobility of buses and the spatiotemporal characteristics of taxis. Building on this, a multi-UAV emergency dispatch model is developed, incorporating data-driven spatiotemporal prediction models for taxis, and considering emergency response delays, UAV hovering time, and relay costs, to maximize urban spatiotemporal coverage benefits. Finally, the performance of UBT is comprehensively evaluated using a large-scale real-world vehicle trajectory dataset. The results indicate that, compared to baseline methods, under the premise of 95% spatiotemporal coverage, the UBT scheme increases UAV hovering time by 65.3%, reduces infrastructure costs by 99.6%, and increases emergency response delays by only 9.36%.