Currently the only way to search the load balancing data is the little search bar on the load balancing page and all it does is search the names of objects in the environment from the "Load Balancing" page then it just highlights the matching items. I have two suggestions, first have this search hide all items that don't match the search.
Second, give us an advanced search that allows you to build a search based on any variable such as the IP of a pool member, a pool by name, a virtual server by name or IP, all active or inactive virtual servers on a particular LTM (pair). This advanced search would load a different page, the way clicking the details link of a pool or virtual server does, that would show the results of the search in a list or table with the ability to click a result and view that items details.
With over a thousand virtual servers across several F5's in my environment and many objects with similar names the current search feature is completely useless.