I see absolutely nothing wrong with white binding - though I don't recall that I've ever used it. But, you are going to be washing a baby quilt more...
Sewing Machines:
---Pfaff Creative 3.0 - sewing and embroidery
---Pfaff Tiptronic 6270 (Antonio) - my workhorse, use it 90% of the time
---Singer 221 Featherweight (Samson) - made in 1946
---Singer 99-13 - made in 1946, cast iron!
---New Royal treadle - my great grandmother's, still works but I never use it