Exmouth in June

G'day all, this is my first post. I'm planning a trip to Exmouth in June, but I've never been there at that particular time. What is the prevailing opinion on billfish and pelagic availability during that month. In addition when we've fished there in May, we've picked up a few decent sailfish on marlin lures. I've often wondered if they are bit of a "by-catch" as I think you'd get more sails on garfish than lures. Does anyone run more baits than lures for billfish generally up there, and if so do you get more sails, as opposed to the odd one on a lure.
Thanks in advance, John