In reply to MPramer:
May temperatures should be similar to October. Too hot in the sun (unless cloudy), and quite decent in the shade (warm/cold depending on wind).
The highlight of Chulilla is Oasis/Chorreras with 40-50m routes, all in the shade all day. Grades from 6b+ to 7c. It's a 7a-b paradise.
Near town you have Tio Pepe which provides shade all day and cover from rain (a bit polished but still interesting). All grades
Muro de las Lamentaciones has awesome routes, but gets the shade after 2pm or so (October). ~All grades
Tesoro has shade and sun all day (depending on which wall) and has good routes from 5 to 6b.
Hope that all helps. I would not go without an 80m rope, unless you plan on missing out chorreras/oasis.