This phase II trial is studying the side effects and how well giving radiation therapy together with bevacizumab, paclitaxel, and carboplatin works in treating patients with unresectable stage IIIB or stage IV non-small cell lung cancer at high risk for hemoptysis caused by bevacizumab. Radiation therapy uses high-energy x-rays to kill tumor cells. It may also prevent hemoptysis caused by bevacizumab. Monoclonal antibodies, such as bevacizumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Bevacizumab may also stop the growth of non-small cell lung cancer by blocking blood flow to the tumor. Drugs used in chemotherapy, such as paclitaxel and carboplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving radiation therapy together with bevacizumab and chemotherapy may kill more tumor cells