I have been doing the sponge bath routine for a year now. I have a small microfibre sports towel.
1. Towel hair dry.
2. Rinse towel in soapy water, wring out, wipe face & hair
3. Rinse towel, wipe body. Use some deodorant.
4. Rinse towel, put office clothes on, go.
Next day the towel is dry and ready. I find the wet wipes are too small and leave a sticky residue for a while.
The deodorant step is crucial for me; I found it completely prevents any BO compared to before when my cycling shirt used to knock out the girls in the next building. I put on a small amount before the ride (keeps shirt odorless) and after the sponge bath.