All the channels are line of sight but with the wide spread of stations (almost 180 degrees between the west and southeast).
The indoor antenna might pull several of the stations, but you might have difficulty getting the tuner to find all of them so you could get them into the tuner's memory for later.
A rescan on the H3 OTA tuner does not remember stations found on the last scan, so if you scan and pick up CBS, you will probably loose the stations that are to the side of the antenna.
But the only way to really know what will happen is to buy an antenna from a place that will allow returns and try it.
For this job I might even look at the Winegard Metrostar with the idea that an omnidirectional antenna sacrifices signal pulling power for omnidirectionality.