Spokes don't break because the wheels are out of true, and truing them up doesn't stop more of them from breaking.
You have problems with spokes breaking when tension is inconsistent and one winds up getting overloaded. If tension is uniform and (paradoxically?) high, then they all work together better.
+1 to a well built wheel. Either hand built, or machine built then gone over by a good mechanic in setting up the bike (or remediating the lack thereof). Very important to get the wheel TENSIONED, not just trued. A good wrench will explain the difference and will, when replacing a spoke, check the overall tension.
I'm 6'5" and 230, have broken a few spokes, but problems went away (other than the occasional really stupid hit) once I started tensioning my wheels.
At 188, you're OK. At 8% BF, I feel compelled to sit on you to punish you.