Given the schools that you are looking at, I think that the methods courses are much more important for you. You can combine your methods training with your honors research projects to have a nice qualitative writing sample to submit with your applications as well.
You might also make some good connections for future letters of recommendation that would be able to speak to your ability to do rigorous qualitative work.
You will soon learn that political scientists are a poorly dressed group. You'll be just fine with business casual. On my visits, I went with jeans and nice tops and was just fine.
I think that the only way that you'd receive comments is if you were overdressed, in a suit and the such.
Not every school has a typical visit day, however. Some will allow you to schedule during a time that's good for you, typically a weekday.
Most will provide some type of stipend, although you will likely have to submit your receipts and wait to receive reimbursement.