Congratulations! The 250 vdc B+ voltage supply has joined the choir of the silent. As you'll note from the AC-4 squidmatic if D5, D6 or R3 were open there would be no +250 vdc. Which means no +245 or +150 regulated and unregulated DC volts (see lower left corner of the TR-4C squidmatic). This would fit the symptoms you describe and shut down everything except the heaters and pilot lights.
Mandatory Disclaimer: There are voltages inside the radio and AC-4 power supply capable of promoting you to client status at a local funeral home. NEVER assume it's safe to touch anything unless you're sure the power cord is unplugged. When testing voltages keep one hand in your pocket, work only on a well lit, stable and reasonably clean work surface. You do not want the radio rolling onto your arm and sharing a few Joules of EMF unless it's a necessary part of the learning experience.
The 470 Ohm resistor in question, is this a 1 or 2 watt item? Damned if I can find an R-10 on the squidmatic I have ( http://elektrotanya.com/drake_tr-4c_sm.pdf/download.html
look for the words 'Get Manual' in a small font under the red cover pic) - but - I do see an R40 just a bit east of the 12BY7 that's 470 Ohms and in the right place. If that's the dude, you should first figure out why it blew. Prime suspects would be a full or partial short to ground through a bypass condenser like C60, C153, C213, etc. and there are a plethora of small value C's on that line.
Best guess is one of them is shorted and that took out R40 about the same time the +250 vdc source in the AC-4 went toes up. Troubleshoot the radio first then the AC-4 as a separate unit.
Once you're convinced you checked everything in the TR-4C that needed to be checked or replaced and you have normal output on the AC-4, plug them together and see how it plays.
NOTE: If R40 is indeed the 470 Ohm part that smoked you can confirm my hunch with a quick continuity check. One side of the resistor should read approximately 27 Ohms (through R192) to pin 11 of the 12 pin Jones power supply jack. The other side of R40 should be 470 Ohms higher to pin 11.