Well you go to the top floor of the cooking guild in pvp worlds...I kno in f2p no1 goes in and if they do it's just to get awayfrom the multi zone so log in and go to cooking guild top floor hop 2 pvp world it also works p2p I have ep'd in there plenty of times... Never died and ther ain't too many ransoms in pvp worlds.
Bring a sara, zammy, and bandos item and head to godwars dungeon, go north until you can see inside the bandos room, you will be around a few hobgoblins. Alch there, it is physicly impossible to get a random event while in godwars, and its safe.