I recommend you to look into "Luciferin-Luciferase" method. I am sure there are a number of publications and suppliers. For an example see the following recent publication in Nature Protocols: Use of luciferase probes to measure ATP in living cells and animals, by Morciano et al., Nature Protocols,12,1542–1562 (2017)
Bioluminescence assay are generally acceptable. One of the researcher in my department was using ' Luciferase assay' in a similar cells (myocardial cells) to measure ATP levels, I would follow the same procedure as its easy, fast and reliable. Make sure of correct setting of the illuminometer, you may need to contact the supplier company to adjust the setting and install the assay if not available in the programme. However, the reagent is expensive somehow and light sensitive.
You will find the protocol with the kit, I used the kit from Promega but for luciferase reporter assay not ATP assay.