I’m going to share some small to medium-sized schools that could be of interest that I’ve mentioned in other threads. I’m quoting them, in part, because those threads may have other useful suggestions for you. I understand that your D is interested in STEM and not just Engineering, but finding small colleges with engineering is not always the easiest. All these schools offer varsity women’s soccer and I’ve added in the school’s division listed in College Navigator (feds’ website) in brackets.
I suspect that Clarkson [D3] in NY would be worth a gander as it is definitely a STEM school. Cornell College (IA, D3) is one of the few schools that has a one-at-a-time model and it ABET-accredited, but only for general engineering. U. of Montana Western is the other one-at-a-time college I’m aware of that your D would have a decent chance of acceptance to (I suspect Colorado College is unlikely), but I don’t think it has the STEM strength that your family would want and they don’t have women’s soccer (though they do have varsity rodeo!).
Is there a region of the country that your D might prefer?