You could modify your data file: Because the central value of the data point is outside the plot range you could set it equal to the errorbar's end point that would be still visible in your plot.
Example:
plot range: set yrange[-2:2]
data point: 1, -3, -1, -4 (x, y, ylow, yhigh)
set data point to: 1, -1, -1, -4
Attention: Since you have to edit your data file you should
Make a copy of the original data file
Be very careful when editing the file
Keep in mind, that when changing the plot range such that the central
value of the data point becomes visible you have to use the original data point. Otherwise you will see the correct error bar but there will be no central value plotted. (this is equivalent to setting 'point type' to 0)