Both "Search Network with Display Select" and "Search Network only" campaign types are identifiable by
AdvertisingChannelType field of Campaign as
SEARCH value. Aside from that, you can distinguish the two campaign types using the
networkSetting field of Campaign. If
targetGoogleSearch and
targetContentNetwork fields are both true, then its type is "Search Network with Display Select". While if targetGoogleSearch is true and targetContentNetwork is false, then it is a "Search Network only" type.
Let me know if you have further clarifications.