Don't be so quick to write off public sector RFP work. There are some good things about it. Governments have deep pockets, and generally pay more to get less from vendors. They accept change orders, and usually the change process is right in the RFP. They usually don't want such high-tech stuff and the projects tend to be easy. Most importantly, they give out some huge projects that are hugely profitable.
One of the great things about RFP's is that you don't have to compete on price (except for little municipal jobs, etc.). Most larger government agencies will actually tell you how much you can bid on a project, and as long as you are at or under that amount you are OK. They aren't looking for price, they are looking for the most accurate response to the RFP questions. A government decision maker with a decent size budget is totally unconcerned with price, they already have the budget allocated - what they want is to reduce risk and if you answer each of their questions 100% and don't go over their budget then you can win the job.
The bigger the job, the easier it gets. A 500k job will almost always have the price range built into the RFP - what is easier than that? There are a lot of people making a lot of money on public sector RFP's, and there are a lot of people saying that it can't be done