It's harder to find discounted, legitimate tickets.
It's much easier to get a discount on a room only reservation.
I would suggest CALL Disney (not online) and specifically ask "are there any special discounts available for May XX-May XX." There are public discounts currently available. You may need to be flexible in your dates/resort choice, but you can get a discount somehow.
Packages are rarely a better deal...better to buy your room only and add the tickets you need later.