Is the problem really the fretboard? Strings often don't actually contact the fretboard unless the frets are very low, so maybe the real problem is that your frets are worn down. A refret won't fix the existing wear on the fretboard, but the fretboard wear will likely only be superficial and not actually affect playing.
My first classical and my first steel-string both need the same job doing to them - cheap instruments, so they probably had low-grade fret wire, and the amount of playing I did on them plain wore the metal down. Neither is worth the money to get someone else to do it, so I figure I'll do it myself and learn how. If it all goes pear-shaped, I'll have damaged an instrument which has some sentimental value but little financial value; and if it goes OK, I'll then have the skills to do the same job on my more expensive instruments if/when it needs doing. Just need to find the time to do it!