I’d go with something larger than a syringe filter.
I’ve purchased 0.45um and 0.2um filter disks in 3" or 4" diameters before in both nylon and nitrocellulose.
maybe 2" would work for you?
https://www.amazon.com/Omicron-170047R-Nylon-Membrane-Filters/dp/B079YXTNQ5