In addition: as much as it's great to bring a cat home from the shelter so they can take in another one (especially now, with people abandoning cats when their houses get foreclosed... who would do that?!?), ask yourself why you're getting the cat.
Make sure that you're not just getting the cat to be a roving rattrap. You're going to be responsible for the care of a living being, remember -- regardless of whether the cat is actually a good mouser, it's your responsibility to give it a good home.
Also, just to warn you, Siamese cats are very loud and whiny. We just got one, and she's very needy, and talks your ear off if she wants something. Look at some Youtube videos of Siamese cats. I have no idea how a mix would be, but I just wanted to warn you...
Not all Siamese cats are like that.
In general cats only make noise because most humans can't (or don't bother trying to) pick up their body language and notice that humans communicate with noise. I've had 7 cats (one of which was full Siamese) and none of them cry out unless you ignore them for a long time (and even then, most of ours would come up to you and paw, nip, nudge, or otherwise get your attention physically before they start to make noise.).
As to whether they inherit the cry, in my experience they do, all of my Siamese mixes inherited the annoying cry of the Siamese but as I said, none of my cats cry unless you give them a good reason to.
Otherwise, I agree with Chabo, though I'll add that you also need to worry about companionship for your cat, some do fine, but most need one other feline in the area to keep them company. Gender doesn't matter, they just need someone to play with when the humans aren't interested and that they can understand easily. Imagine if you lived by yourself and only saw your pets for most of your life, most people couldn't handle that and the same is true about most domesticated animals.