Freshmen and living off campus (no parents living nearby)

That’s exactly why I’m applying to British unis. However, I’m currently living in the US (I wasn’t born here, but I wouldn’t consider myself an international student), so US colleges will be much more convenient.
The problem is that US colleges are not definite when it comes to single dorms. They say, we have some single dorms. They say, we will try our best to meet preferences but no promises. I even contacted their housing department, and the responses were never that single rooms are guaranteed. They say, demand for single rooms vary each year.

Which leaves me thinking that I have to accept the offer AND wait until housing assignments are out to decide.