If I understand you correctly, you are using this for starting new cuttings in it, not for growing adult plants, then yes you would be wise to find a nice clear dome to keep over the cuttings so that they stay warm and humid until they start rooting.
If you use a strong air pump to boil the water and keep the water level just under the cuttings so that the bubbles splash water onto the cutting stems, then you will not need a sprayer head. The bubbler will be sufficient, and the sprayer head(s) may be to strong in that small of a container. The aeroponics cloners use sprayers but they are much larger. I have one and sometimes it strips the soft material from some cuttings and they fail to root or are much slower to root because of it.