I haven't had much luck with any of this, but even so, my guess is that it could work and if you are having trouble with a bottle, it's worth trying. I'm not sure about brands, but I would look for one that has a supple rubber-type sippy spout rather than hard plastic. I think Avent makes one with their bottle stuff, but maybe others make them too (and others might be cheaper). The other advantage of the sippy cup, if you try one that does NOT have a spill proof mechanism, is that you can sort of squirt a bit of the milk into the baby's mouth to get things going...it hasn't really worked for me, but that's what others have told me has worked for them, and it makes sense. I just wouldn't try a sippy cup with a spill proof mechanism that means the baby has to suck super hard...if you have to work hard to get anytihng out of it yourself, chances are that at least at first the baby won't get anything.
My own baby still refused the bottle--or anything else except the breast for that matter--so we've just had to admit defeat for now!