To be honest, i found very difficult to apply for a VLSI job in USA without Master Degree or at least 3-5 years of working experience.
From my past experience, it is very easy to get job in thne campus but a job which they offer you usually an unwanted job. Many friends of mine have got a job in software field and application engineer jobs even they are core-based.
Higher study in some advance and developed country such like US,UK or Japan is the best way to get a good VLSI job there.