I too have this problem with my Garmin 235 broadcasting HR to Edge 510. I was even considering replacing the Edge thinking it was the culprit. Will turn off Bluetooth when broadcasting HR on my next ride and see how it goes.
I recently picked up the 235 when my 910 kicked the bucket. I am having no issues with the HR dropping data. I use a chest strap and have an older model GSC 10 speed/cadence sensor connected to the watch. I also have an Edge 500 I use with GPS off for indoor rides which is also connected to the HR strap and speed/cadence sensor. I have the opposte issue in that my speed/cadence data drops out for 10-45 seconds on every ride it seems like. I have changed the battery in the S/C sensor but still seem to have issues. When comparing data from the 235 to the 500, it typically drops out about .10 mile of data. This is only indoor riding though and the weather has not been good enough yet to get the bike out on the road to compare. Perhaps I will try turning the bluetooth off on the watch for the next ride and see if that is what is causing the issue.