If I were you, I'd look into getting her a PAL/ILP from AKC (or UKC). This lets you compete in trials as a poodle instead of a mixed breed. When I registered my rescued rat terrier a few years ago, I had to submit pictures--twice (they were pretty fussy)--so make sure you follow the instructions.
Purebred Alternative Listing/Indefinite Listing Privilege
I highly recommend a new venue called CDSP--Companion Dog Sports Program. The web site is CDSP Home Page
(full disclosure: I'm a judge in this venue). Check on the web site to see if there are any trial officials or events near you.
CDSP is very dog-friendly (no harsh corrections allowed), there are no group stays (safer for some dogs!), and verbal encourage and treats are allowed under specific circumstances. The exercises are pretty much the same as for other obedience venues, but with a few tweaks here and there. For example, in Novice, the heeling pattern is on-leash while an honor dog is in the ring (also on leash). After the heeling pattern, the honor dog exits, and the figure-8 is off-leash. The stand for exam is a moving stand. Three Qs of 170 are needed for a title (top score is 200).
Once you get your Novice title, you can continue in the C class and earn a championship by getting 10 Qs over 185. Preparing for the Open title adds the challenge of doing a go-out from the middle of the ring. This is to help train the dog for the full-ring go-out in Utility.
Whatever venue you get into--READ THE RULES! Nothing is more frustrating than an NQ that happened because you didn't understand the rules. Ka-ching!
All that said, I think Rally is a very good place to get your dog some ring experience before heading out for an obedience title.