I'm actually quite aware of these types of issues at Queen's University and in my opinion you should have no worries when you arrive next year...
Kingston isn't as multicultural as Toronto obviously - but the vast majority of people are very laid back, and there's certainly enough diversity that you shouldn't feel uncomfortable and will blend in about as well as anyone else.
In virtually every case of racial issues I've heard of, the person accused said or wrote something without really thinking about whether someone might be offended - ie. they weren't being malicious, such as one time a student commented on a Caucasian friend's Facebook picture (where she had a towel wrapped around her head ; I suppose because her hair was wet?) “I like your Taliban picture”. In that case I don't think the friend was offended, or really anyone else, they were just surprised because it sounds prejudice or like he was stereotyping people who belong to the Taliban...
The other cases, few and far between, are due to idiots who might make a comment about someone's race, just like they would say something about a person's weight, sexual orientation, IQ, choice in clothes, hair colour, the fact they wore glasses, or anything else they could attempt to make fun of. We've all seen that happen in grade school and although most people grow out of it, there are still a few who haven't matured enough yet. :-)
Again - not very common and certainly a case like that would be a reflection on the person making the comments rather than whoever was being targeted.
So Kingston in general, and Queen's in particular, is far from "Redneck Central". :-) I've seen a lot of Asian students on campus and there are tons of groups you can join that are primarily Asian or any other group you have an interest in. And if you ever do have any issue with racism, no matter how small, the University treats it very seriously and will provide you with many options as to how it can be handled.
By 'South Asian', I'm not sure exactly what your heritage is, but as an example of Asian groups on campus I'll provide a link below for last year's "China Week" at Queen's University that lists a few of that culture's groups and associations that are available. I'll also pop a link to the International Centre who I'm sure would be happy to address any questions or concerns you might have (in person, phone or email) as I assume they would be both aware and sensitive to any matters of racial problems on campus.
If you have any more questions or require additional info about Queen's U, feel free to email me directly.
Best of luck next year - I'm sure you'll have a blast... and learn a lot too, of course! ;-)