The chances of landing a job in a multi crew aircraft straight after your graduation are there, but there is only a chance! I would not recommend pinning your hopes on that happening however. As for gaining experience on type, well the only way I can see you attaining that is to get a job on that type!! Like you say, bit of a catch 22. I would suggest a contingency route of attaining an instructor rating to gain time and experience. This however is also of limited value in the eyes of some organisations. But get your hours up and the doors will start to open, 700 gets you into the single pilot IFR category, great flying and experience which is far more favourable on the cv.
You could also buy yourself a type rating, thats an expensive and sometimes risky option because it does'nt gaurantee you a job either! But if you love flying enough you will find a way. Some of the big schools claim to get you into the right hand seat straight after you walk out the door, exercise caution though mate!