Joanna - not trying to mean, please do not take this the wrong way...BUT why are you still a CP? Are you ever planning on moving on and graduating your original college degree, not just the Ducktorate?
okay so to answer the original OP's question it definitely depends on the costume. After my original CP program I stayed on and worked for Disney for a while in the character dept. Women do in fact play the majority of the "fur" roles like Mickey, Minnie, Chip, Dale, etc... due to height.
The characters world is a world like no other. The closest way to describe it would be like revisiting high school all over again

There are strong social hierarchies in this "school" and many cliques.
The "preps" typically were the face characters. These are your princesses, princes, and villains. Work is pretty good for this group and they rule the utilidors.
After that you had the "jocks" - who are usually your entertainers. These were your parade dancers and on stage performers. Fun job, you get to be animated, more around, carry your body weight in equipment and wear skin tight costumes that would make a waif look fat.
The "nerds" wore the "fur". Hot, sweaty (no fans inside), only washed once per week, used by many, personal saunas. poor unfortunate souls
Auditions are packed and you know immediately if you chosen. Critics could get pretty harsh. For some reason (my dance background) I didn't start in "fur" like most and went straight to the parade route. I was glad to not be suffering in those costumes, but it was still hard work. After about 4 months I was ready for a change. The next time I auditioned for a face character and was chosen to play Jasmine and subbed as Pocahantas (in conservation station). It was weeks before I was ever able to go "stage" (meet the guests), because first you have to watch your characters movies, learn the dialect, learn how to put on your makeup and wig, and a short easy test to make sure that you grasped the information, signature classes (each character is unique and must be consistent with all the performs).
SO...finally you get to go "on-stage" and its a blast, totally awesome....for about 2-3 months and then the magic really starts to fade...

You would occasionally have those special guests who just really stand out and bring the magic back, but all too often the next guest is snippy that you didn't immediately gravitate to their child or its some guy who thinks that you are there for his "hand" candy and since its Disney he has the right to totally invade your personal space and sometimes inappropriately hit on you and they wipe it all away (the magic that is)
Ahh...My time at Disney as both a CP and a employee was great and I would have missed many great things by not doing it, but I'm definitely glad that I have moved on in my life. As a side note - those souls are way underpaid - depending on the role anywhere from $7-10 /hr. be kind and don't, trust me they have heard all the stupid jokes and Jasmine, Ariel, and Pocahontas do NOT like to be fondled so stay clean you pervert