你这个问题在国外论坛上一年前就有讨论，不过讨论没有啥结果。我说一下我的看法，不一定对：
词典中收录的有the third year in a row that... 的说法。有third，所以关系分句一般用that，in a row在这里意思是consecutively连续地。
This is the third year in a row that the rains have failed. (剑桥高阶rain词条下)
This is the third day in a row that it‘s rained. (牛津高阶第五版row词条下)
而原文的in a row of when这种说法还是有的，很少，词典中并没有收录，不用找了，以下材料来源于网络：
1.In addition to much-needed moisture, cooler temperatures are also aiding firefighters. The
temperature in Fairbanks failed to hit 70 degrees for the second day in a row on Thursday,
ending what had been a string of 23 days in a row of when the temperature hit at least 70 at
the airport until Tuesday.
2.It creates certain memories and I love clothes. To me, what I wear is almost like art. I’m so happy that in tennis you don’t have to wear uniforms and really what you're wearing expresses what you were thinking when you were designing that product. I don’t know, it brings back really good memories – some bad, because you lost in certain out«Îts (laughs) – but I have them all in a row of when I wore them…….
语法上也不难理解，把 in a row of（本意是一排排的房屋，座位等）用作了比喻的意义，“在那些一段段......的时间/时光中”，很形象和生动。
