I would go with the non-accented spelling: resume

This way you avoid sounding like an idiot, either with resumé or résumé. The first spelling (resumé) gives the true english pronunciation and is likely the "best" spelling, but some people will think less of you for not spelling it like the french. In fact our language has MANY borrowed words from french and most have divergent spellings.

If you spell it résumé I think it is worse since it is (1) pretentious and (2) shows that you don't know what the accents are for. NOBODY pronounces it this way and given the options available, i would stay away from this spelling.

Resume shows the most sophistication. It is not pretentious, it is "correct", and you didn't need to look it up in a dictionary. Most importantly, nobody will judge you for it