Where to the electrons go from the CRT face?

[dtvmcdonald]

Its not the energy one has to think much about .... most of the
energy ends up as heat.

What probably happens to the charge (on non-aluminized tubes)
is that secondary emission initially sends more electrons out
backwards from the screen than come in forwards in the electron beam.
They are at low energy and get sucked up by the graphite coated
HV potential in the bell. This would build up a positive charge on
the phosphor, eventually resulting fewer secondary electrons,
resulting in a feedback-enforced regime of one electron in at high
energy, one back out at low energy.

Doug McDonald