People have been asking me to increase my accept rate on Stack Overflow. So I've gone back to my questions and have been trying to select the best answers. But for some questions, I have not received any ideal answers. What should I do about those questions? Leaving them open will cause problems with my accept rate, right? I'm feeling like I shouldn't have asked some of my questions in the first place. If I delete them, would it affect my reputation?
IMO questions without a single answer should be ignored for the accept rate. A very skilled person might ask questions which are very difficult to answer (because this person doesn't have to ask simple questions), so after a few questions without answers, his accept rate might be close to 0%. Admitted, bad answers might skew the accept rate anyway.
You are going to have to work on the answer yourself. Take the best info from each answer and give credit to each answerer. Then do a lot of Googling and research to come up with more info or resources and add it to the answer. List some different approaches and pros/cons of each one.
It's not ideal but at least when someone has the same question in the future, they will benefit from all your work.
I would see the problem from another point of view: if you ask something, you have a problem. If you don't get any helpful answers after some days, describe what you have done to circumvent that problem and accept that answer.
This shows anyone who finds himself to have the same problem a possible solution.
It is even possible to put a question and to answer at the same time, so this way is perfectly valid, as soon as your answer is really the only helpful one. Copying and only marginally improving a given answer and accepting yours (and not the other one) would be impolite, however.