I am new to gardening myself and my basil was doing the same. I live in RI and watered every 2-3 days and it looked like I was leaving them in the sun to long but was told I was watering them to much. (Honestly I dk how people can tell.) What I did though and it has improved my plants a little is water every 2-3 days depending on the heat and I started putting them in areas where they had full sun for only 6-9 hrs a day. Once they bulked up a little I put them in brighter spots. This did not fix the problem completely but it did help a lot. Hope it helps you.

Thanks for the reply. I'll see if I can move them out of direct sunlight and water them a little less.

coll temps are basil killers. I am having a problem with it.
Up until last Thursday we had a lot of cold nights(41F to 44F) Two of my nursery bought seedling are almost dead. The ones planted out side from seeds (long time ago) although have not died(because they have been REALLY hardened off) but just sat there. Watering is just an excuse. If the soil has normal drainage, excess watering will not cause major damage.
There goes my 5 bucks, for not paying attention.