According to friends, there isn't much snow this year...see all the early openings. My guess in June NAP will not be a problem, whereas AP will still have issues for those not willing to carry an axe and crampons.
Once to the top of the pass, it's a sandy slog...a beautiful sandy slog but a slog none the less.
Local knowledge helps here, so going with someone who has done this mountain can cut 30 to 45 minutes off the time from the top of the pass to the summit.
Take the steepest route you feel comfortable doing to the mountain. The further west, the shorter the route. You'll figure it out when you get there.