It should be ok if you follow the package instructions on the lime package. I have used the Ball canning lime with good success. If you want to avoid using lime or alum for crispness, try pickling in a salt water brine. Another factor to consider is the age of the cucumbers. Cucumbers that are allowed to sit around after being picked often dry and become rubbery. Keep them submerged in cold salted water and try to use as soon as possible after being picked.

-- CM