Bleed resistor with a load that can be turned off
Bleed resistor is meant to short out your bulk capacitors on the PSU output, so you can touch the output without getting a nasty shock by discharging caps through yourself. Normally caps would self-discharge, but that takes forever, so bleeders are used.
Dropping 18V across 2.2k draws about 8mA. With P=I^2R we get ~150mW. 3W resistor shouldn't get too warm. With 100W load having 0.15% loss due to heat seems a reasonable tradeoff for saving a couple of cents on manufacturing :)
If you don't want bleed resistor wasting power, you should disconnect it from the power path when PSU is on. For that you can use a depletion mode FET in series with bleeder with gate connected to primary input power detection.
All in all it sounds much too complicated for you, if you have to ask about whether bleeder heating is a reason to worry.