Quick grammar related question

If you want to use speech quotes and then end the sentence with a question mark, but the quotation isn't a question, how would you write it?

For example, is this sentence correctly structured?


-- Have you ever thought to yourself "That's a load of rubbish."? --

Should the question mark go after the quotation marks and should there still be a full stop at the end of the quote?

Any help would be fab!

________________

Medical Device Consulting
Work Accident Compensation Claim UK
Road Accident Compensation Claim

Have you ever thought to yourself, "That's a load of rubbish?"

i like games too.

Have a read here: http://owl.english.purdue.edu/owl/resource/577/01/
Grammar for quotations.