This site has good data on the solar spectrum, with resolution to 0.002 Angstroms in the region of H-alpha. The data is given as a spectral density, total power in a bandwidth is easy to calculate by numerical integration of the data.

http://bass2000.obspm.fr/solar_spect.php?step=1

This data shows the absorbtion line for H-alpha has a spectral density of about 16.04% the density of the local maximum, the local maximum is approx. the black body emission according to Plank's Law. So the intensity dips a little less than an order of magnitude. For the Calcium lines the dip was deeper, somewhere between 4-5% if I remember correctly.

When you say the dip isn't deep enough, I think the data is showing the H-alpha emission spectrum of the excited hydrogen in the chronosphere in conjunction with the emission dip from absorbtion and not just the absorbtion. The photosphere emission is blocked to a much greater degree and then scattered with the result in the data being that portion of the energy scattered in our direction.