As a platinum, I have to use a platinum extras upgrade coupon. You get one of these coupons every third stay, and they rotate the coupon type. RC access is not a platinum benefit.
Last time I needed one (and I was eligible for a couple of them based on stays around January or so) I just emailed the concierge and asked for one using the email link on the goldpassport web site. I've found them very useable, especially when used when checking in with 800-CHECK-IN. Another great plus for frequent stayers at Hyatt's lower elite tier.
Unfortunately, you can only use 800-CHECK-IN for US properties.
When are you going? The only 2 I have expire 7/31, but I'd be happy to send you one if it will help.
The other thing you can try, if you don't have a coupon, is to simply ask or if you're willing to pay extra for the access ask how much extra it would cost at check-in.
-David