Tooling is cheaper but still expensive on a per unit basis and finding/vetting vendors for a low cost/low volume project like this is hard enough already without having them be thousands of miles away (not to mention the possible language barrier).
I have used overseas manufacturers for some projects but for the types of volumes we are usually involved in it often doesn't make a lot of sense to do so.
If this was a cell phone case that I thought we could sell thousands of then it might be worthwhile (but then we would have hundreds of competitors too).
FYI - if you are looking to have companies all over the world (and right next door too) quote on manufacturing projects this web site is great way to do so: