Android : How to log hard finding crash in Android?

I've an app which crash almost once a day, and I've used the default uncaught exception handler in order to save the crash log

e.g.

Thread.setDefaultUncaughtExceptionHandler(new CustomExceptionHandler("/sdcard/crash"));

However, for normal crash such as stackoverflow (intentional) it can be logged, but for my bug it never get logged. I guess the crash is raised outside the scope of a normal activity.

I've also tried to connect the device to my computer and log the logcat out via adb logcat > log.txt, however, the adb will timeout for a while (adb device return not connected until I re-plug it again) and the logging will stop.

So, are there any other way I can use to log and identify my bug?