Phase II trial to study the effectiveness of combining imatinib mesylate with bevacizumab in treating patients who have advanced melanoma or other metastatic or unresectable cancer. Imatinib mesylate may stop the growth of tumor cells by blocking the enzymes necessary for their growth. Bevacizumab may stop the growth of tumor cells by stopping blood flow to the tumor. Combining imatinib mesylate with bevacizumab may kill more tumor cells