Carrie,
If you love your dog that much and that's your only rationale for breeding, do her a favor and don't. Breeding Llasas is not easy at all.
No breeding really is. There's a lot of things that can go wrong and there's always a risk of the bitch having serious complications or even dying. Llasas have a large head and narrow hips. They are not for the inexperienced. If you don't actively show her to know where she fits in standard built, health, and temperament, value her as a wonderful pet, not a potential mother :)
If she's unpredictable in her heat cycles --- once or three times a year, you might just consider having her spayed--especially if you want to go on vacation. :)
good luck,
toodles