jbxfire......Let me see if I can answer your question.....use the information that KAA951 provided, he is a wealth of information....
As far as I-35 being part of the Ks. Turnpike Auth. it starts in Emporia (Lyon Co.) ,continuing S.W it passes thru Chase Co. and Butler Co. next county is Sedgwick (Wichita) where it makes a turn due South and passes thru Sumner Co.....Sumner Co. is on the Kansas, Oklahoma border.
I don't monitor KHP , but, with that being said I was able to figure out (I believe) what I would program into the scanner, using the information that KAA951 provided, if I where to monitor traffic along the I-35 portion of the Kansas Turnpike.
As far as Osage co. is concerned ,the turnpike is I-335 from Emporia toll plaza (Lyon Co.) to Topeka (Shawnee)...it passes thru the the N.W corner of Osage Co. for a handful of miles...no exits, no service area, nothing....there may be a gated access road for emergency vehicles if there is anything at all besides the turnpike itself.