If the dynamic range is sufficient of the replacement you've found, then you can always put a filter in front of the sensor to reduce the light slightly to fit the range of the sensor. From wikipedia, the 188uLux is roughly equivalent of starlight on an overcast night, is that dark enough? Direct sun seems to go a tad higher, but if you could attenuate the light coming in even just slightly, it would probably fit your range. You can also go the multiple path sensor route for way extra dynamic range, though it's added complexity.
For attenuation, you could even mount your sensor a set distance from a window, then lower its mounting to be farther from the sensor, letting less light in through the window, or you could mount it so that it's showing outside but not into direct sun (glare could make it clip, but you can always just throw out short term clipping results in software.