+1 on less coverage...esp. on the run.
Arm coolers have worked for me on the bike...as long as I keep wetting them from my water bottle.
I typically use UnderArmour Heatgear sleeveless tops. They are super thin, UPF50, wick well, and don't have that "stick to your abs" feeling. Pair them with tri shorts (Castelli Free or Desoto low-cut in my case).
Best advice I've gotten is "stay hydrated...inside and out." I keep a water bottle on the bike (70.3+) just for squirting into my helmet and keeping my jersey/arm coolers wet (also serves as a backup if I eject a bottle).
ECMGN Therapy Silicon Valley: Depression, Neurocognitive problems, Dementias (Testing and Evaluation), Trauma and PTSD, Traumatic Brain Injury (TBI)