I tried not modifying with stock, eclipse, broken out 1-1.3, had similar issues with all of them. It seems that the longer I use the phone without reflashing, the less I have reboots. As I said, it is mostly the first 24 hours or less then no reboots for days. On Broken Out 2 I went almost two weeks without any restarts, random or intentional. The v6 stock rooted was far far worse, it rebooted almost twice an hour all day. For the two days before I went back to Broken Out.
It could be the phone, this is my third LG Spectrum...
LG Spectrum -- Rooted and running CM10.1 official M2 thanks to TDM (and too many others to list).
B&N Nook Tablet 16GB -- running CM10.1 with 10 finger multitouch