I've seen gravity-fed drip systems but don't have experience with them. Some are as simply as rain barrels on platforms with the lines attached to the spigot.
Since you also would like to cut down on the weeds, are you using mulch? Clean straw (i.d. most seeds removed) is an easy and effective way to reduce the soil temperature and it will eventually decompose into the soil. Newspaper or paper mulches work in a similar way. Since you're trying to reduce the heat on the soil, avoid black plastic/synthetic mulch sheets. With any of these mulches though it's good to leave a few inches of bare soil around the stem.
Lastly, the best way to reduce heat stress is to have a strong root system. If you buy plants, choose shorter stemmed ones with no roots coming out of the holes at the bottom of the pot. Whether growing from seed or transplanting, start out with fertilizers higher in phosphorus (the P in N-P-K) than the other nutrients. This will promote root growth. Once you have a decent looking stem switch to a more balance fertilizer.