Being 48 years old now, and a country music fan since 1966, I can honestly say that there is no music category known as country pop, nor is there a specific chart for country pop music.
Through the years, pop music and country music singers had such big hits, that they were able to reach a larger audience. Country singers would be on both the country and pop music charts, and pop singers would get on the pop and country music charts. Some examples would be:
Tennessee Waltz - Patti Page (Pop Artist) #2 Country / #1 Pop
Bye Bye Love - The Everly Brothers (Rock and Roll Duo) #1 Country / #1 Pop
Walking After Midnight - Patsy Cline (Country Artist) #2 Country / #12 Pop
Don't Be Cruel - Elvis Presley (Various Music) # 1 Country / #1 Pop
Sixteen Tons - Tennessee Ernie Ford (Country Artist) # 1 Country / # 1 Pop
You Win Again - Jerry Lee Lewis (Rock and Roll) #2 Country / #95 Pop
I Walk The Line - Johnny Cash (Country Artist) #1 Country / #1 Pop
It Wasn't God Who Made Honky Tonk Angels - Kitty Wells (Country Artist) #1 Country / #27 Pop
The End Of The World - Skeeter Davis (Country Artist) #2 Country / #2 Pop
Honey - Bobby Goldsboro (Pop Artist) #1 Country / #1 Pop
Funny Face - Donna Fargo (Country Artist) #1 Country / #5 Pop
Delta Dawn - Tanya Tucker (Country Artist) #1 Country / #11 Pop
Rose Garden - Lynn Anderson (Country Artist) #1 Country / #1 Pop
There's hundreds of others. These listed are only a few.