There is no harm running the amp with out the caps in it , in the long term four more resistors will be added to each channel ,two will added to each cathode of the 6sn7 , you need two 150 ohm half watt resistors , they will replace the 300 ohm resistor . the 470uf cap will go from the center point of the two 150 ohm resistors to ground , on the second half of the 6sn7 two 10k 1 watt resistors in series 20K to the cathode will replace the 39k resistors in parallel (18K) the 100uf will go to the center point of the two 10K resistors to ground .
That will decrease the gain of the 6SN7's .
A 6sn7 amplification factor in this case is 20 X 20 for a total of 400 , a 6SF5 has an amp factor of 100 . Parallel wired 6SL7 or 6SC7 have an amp factor of 70 . parallel wired 6SN7 has an amp factor of 20 .
Your amp only needs the front end to have an amp factor of 70 to 150 , but how it is wired it is close to 400 .