Right now the market is very bad. There is no such consultancies that will get you job ASAP. Consulting companies also look at the positions and market the candidate. In this job market, each open position is fought for by hundreds of people. Unless you are the best in your field, it will be down to luck finding a job.

I would suggest you connect to recruiters of big companies like TekSystems, Apex, Kforce, Mitchel Martin, etc. via linkedin. They will market you if you are a genuine candidate and they have a good network with big companies, so if they can't find a job, pretty much nobody else can.