I am also stuck between Luskin and Price and have similar concerns. I have a half scholarship to USC and am from LA, so the cost is basically the same.
I'm interested in the intersection of gender and policy, so the social justice/social policy bend of UCLA is quite appealing.
I'm nervous about networking for the first job or two out of grad school because that's really when a large network can be impactful. Price students all talk about the Trojan Network. Luskin has significantlly less alum. Also there's one person in charge of career services at Luskin.
The quant I wouldn't panic too too much about. I was not at all a quant person in undergrad, but I've spoken to students that also lacked the quant background who all mentioned the communal struggle and the support system that will get you through the heavy quant and come out being stats/econ-literate at a minimum. I'm nervous, but feel confident that it is managable for a non-quant mind. They are too because otherwise they wouldn't have admitted us!
I'm going Monday, and am reading everything that exists online until then.
UCLAs program (9 electives and Global Public Affairs certificates), research centers, and left-leaning politics really win for me. The USC alumni network// $$ and the talk of USC as practical and UCLA as theoretical/academic does make you think.
Also quick detail: the UCLA APP requires you to find your client, while the USC practicum hands you one.