Just below CB Radio Channel 27 - 27.275 MHz / 27275 kHz. 11 meters equals 27.2727272... MHz so 27.270 is about as close to exactly 11 meters as you can get. Anyway....
I have often logged paging and other data link signals on 27255 kHz / 27.255 MHz (CB channel 23) but never on 27270. It's possible this is coming from outside the US, given the large amount of international, specifically Latin American,DX traffic heard during today's band opening on 27 MHz. Fair amount of domestic (US stations) heard all around the band as well.
The band has been opening most of the morning into the early afternoon (it is currently 1330 local time, 1730 UTC). First noticed data link around 15-20 minutes ago and it has been on and off ever since. Strong, often overmodulated signals on 27265 (CB channel 26) and 27285 (CB channel 28). Sounds like FSK signal to me, often S9+ so very strong.