There might be a solution. How do you bias th input of the DRS4 chip? If you use a scheme as described in elog:84, you can bias DRS_IN+ and DRS_IN- as desired. Take for example a board input range of 0-1V. For a 0V input, you bias DRS_IN+ and DRS_IN- both with 0.9V. A 1V input signal then puts DRS_IN+ to 1.4V and DRS_IN-to 0.4 V. In the transparent mode, DRS_OUT+ = DRS_IN+ and DRS_OUT- = O-OFS - DRS_OUT+. So if you put O-OFS to 0.9V, you get for a 0V board input signal DRS_OUT- = 2*0.9V - DRS_OUT+ = 0.9V. So DRS_OUT+ = DRS_OUT- = 0.9 V which is in the middle of your ADC range.
If you do now a DRS readout, you need a ROFS of roughly 0.9V. For a 0V input, the storage capacitors have a zero differential voltage (DRS_IN+ = DRS_IN- = 0.8V), so DRS_OUT+ = (0.8V - 0.8V) + ROFS = 0.9V, and since you have O-OFS=0.9V, you will also get DRS_OUT- = 2*0.9V - DRS_OUT+ = 0.9V. So you ranges for transparent mode nad DRS readout mode will be roughly the same.