Tips for recording harmonica?

Hey,
 
I'm working on a song that includes harmonica as a main melodic element.
 
Unforunately, the harmonica sound is quite shrill and harsh to my ears.  I recorded it using a Shure KSM-44.  In hindsight, I'm wondering if I would have been better off using a dynamic mic such as a SM7 or 58.
 
So that got me thinking...  Perhaps I can re-amp the existing recording by playing it through my studio monitors and then re-record it using a dynamic mic.  Might this result in a more pleasing harmonica sound?
 
I think I'll try it!
 
Anybody here use this method, or have other suggestions on getting a harmonica sound when recording?
 
Thanks.

Naturally I tried that. But still want better results.

Maybe try the KSM44 in omni? The hi freq boost starts at 5kHz in Omni while it rises at 3kHz in Cardiod. Plus the off axis in "Omni" has quite a bit of fall off, as the frequency rises, so you can tailor the tone of the hi end by positioning the mic to the side  or at an angle to sculpt the EQ curve of what you capture.
 
I think that harmonica could really challenge a condenser mic. Some may work while others others probably will not.
 
I don't want to seem argumentative, but I think your (Dave) response makes sense to me; If there is something about a mic's EQ response that I don't particular like it seems to persist regardless of attempting to use EQ to make that aspect go away.
 
Have fun!

Check this out:
http://www.soundonsound.com/sos/may13/articles/harmonica.htm
 

I have always thought of harmonica playing and blues harp to be two distinctly different styles of music. I usually mic the blues harp on the players amp and I think of harmonica playing as soft melodic stuff like German folk songs. I think of harmonica as a reed instrument.

Blues harmonica? Country harmonica? Old time/traditional folk harmonica? Tremolo tuned or not?
 
All sound different and require different techniques.
 
As a general principle though, harmonicas are much louder close up then you'd think and can overdrive many microphones without a bit of distance (though blues harp in particular relies on overdrive). They also tend to lack bottom end and have a big upper mid spike, especially if tremolo tuned. If playing into a guitar amp it's usual to have to reduce the treble a lot and boost the bass.
 
I consider distance miced harmonicas as essentially a woodwind instrument. Close micing gives more of a "Chicago" sound and hand cupping/uncupping doesn't have anything like as dramatic effect as when using a more distant mic.