You might contact Loaves & Fishes. I know they take clothing and food donations but I imagine they'd also be happy to take hygiene products as well.

Check out the umbrella center, they may take donations.

Columbus House

I’d also recommend IRIS the refugee center.

Call 211 - the info line. Free anywhere in CT. Just dial 211.

https://www.google.com/search?q=womens+half+way+houses+near+new+haven&rlz=1CDGOYI_enUS1020US1020&oq=womens+half+way+houses+near+new+haven&aqs=chrome..69i57j0i22i30j0i390l2.14152j0j4&hl=en-US&sourceid=chrome-mobile&ie=UTF-8

Scroll down a little for new haven area list but they need to be new not gently used hygiene products

Clothes can be used