Not meant to be a hijack, but I used to carry a handkerchief before I retired…and blowing my nose was only about 1% of its usage. I would use it to dust off my shoes after visiting a construction site, wipe dust off of everything from my computer to old books, clean off a bench before I sat on it, mop my brow when I broke a sweat, dampen it to keep myself cool working in the field, and a dozen other things. A small pocket tissue may be OK for SOME of these tasks, but you can’t beat a bandanna-size handkerchief.
OTOH, the OP is right that I did not want to blow my nose in it and carry it around afterwards. I often tried to tuck a pack of tissues in another pocket when I foresaw the need.