A barrel swap is possible (I know shooting 9mm rounds in 9mm barrels in .40 slides works, I just haven't done it enough to say it's 100% reliable), but the trouble is finding a small frame, 4.75" 9mm cone barrel; I wouldn't bet my life there are not any small frame 9mm Limited pistols in the US, but there probably aren't more than a handful. The barrel itself would be even more rare and if you found it 90% chance it would be from EAA and they would probably charge $300-$400. However, you can get a small frame 9mm longslide conversion kit with a standard barrel; EAA lists them for $589 (when they get them in stock), but I can likely get you set up for less than that.
Are you just trying to get set up to have a Limited Minor/L10 Major setup? or are you interested in shooting Open 9 Major with this frame?