I'd definitely suggest just training it with Slayer, in the long run you'll be higher slayer level and be able to make money easier if you ever die. Hope all works out
Good luck! My best suggestion is to do the quest late at night (3am or later). That is only if you are in America. I am east coast time zone and I did it at 4am and didn't see one person the entire quest.
So I was minding my own business and alching in bank when somebody mis-clicks on me and I get a 600k bank key, probably the easiest 600k I've ever made XD