Monoclonal Antibody Therapy and Peripheral Stem Cell Transplant in Treating Patients With Non-Hodgkin's Lymphoma

Inclusion Criteria: * All patients must have a biopsy-proven indolent or diffuse large B-cell non-Hodgkin's lymphoma as defined as REAL classification marginal zone/MALT, mantle cell, plasmacytoid, lymphoplasmacytoid, small lymphocytic lymphoma or follicle center grades I, II, III or diffuse large B-cell (CLL patients will not be eligible); transformation from a low grade to intermediate or high grade lymphoma is also permissible; patients with diffuse large cell lymphoma must not be eligible for any known potentially curative therapy; at least one diagnostic pathologic specimen will be reviewed by the JHH Pathology Department * Patients must have received at least one but not more than five prior chemotherapy regimens for treatment of their lymphoma * Patients may not have received prior external beam radiation therapy to \> 25% of active bone marrow (involved field or regional) * Patients must have 0-35% morphologically identifiable tumor in the trabecular space on bone marrow biopsy; in patients with lymphomas in whom tumor is morphologically difficult to distinguish from normal cells, flow cytometry must show 0-35% identifiable tumor within 4 weeks of registration * Patients must have =\< 35% bone marrow involvement with tumor due to risk of engraftment failure * Patients may not have hypocellular bone marrow (=\< 15% cellularity) or marked decrease in any one (or more) hematopoietic precursor * Patients may not have received prior murine compounds due to risk of HAMA formation * WBC must be \>= 3,000 * Total lymphocyte count must be \< 5,000 * Hgb must be \>= 10.0 * Platelets must be \>= 75,000 * Serum creatinine must not be greater than 2.0 mg/dl * Direct bilirubin must be =\< 2mg/dl unless secondary to tumor * AST or ALT must be \< 2 x the upper limit of normal * Normal (\>= 45%) left ventricular cardiac ejection fraction, (determined by echocardiogram or MUGA scan) * DLCO must be \> 50% predicted * Patients with active infections requiring oral or intravenous antibiotics are not eligible for entry onto the study until resolution of the infection * ECOG performance status =\< 2 * Not pregnant (confirmed by serum pregnancy test in females of reproductive potential) or breast feeding, because it is unknown what effect these drugs will have on children * Women of childbearing potential and sexually active males are strongly advised to use an accepted and effective method of contraception * Patients with a second malignancy other than basal cell carcinoma or squamous cell carcinoma of the skin or in situ carcinoma of the cervix are not eligible unless the tumor was treated with curative intent at least two years previously * Women and minorities are encouraged to participate * Patients who have received prior anti-CD20 therapy must have achieved a partial or complete response * Patients who are HIV positive will be excluded due to increased risk for bone marrow suppression and other toxicities * Patients who have received prior radioimmunotherapy, for example Zevalin or Bexxar, are not eligible