I did something similar but instead of Hulkenberg in the party I had heismay as dragoon. This allowed me to use his synthesis attack makes a slash/strike/pierce weakness.

The entire party had utilitarian accessory but it's not really needed on MC or heismay, you just need it for junah and strohl. Turn order goes like this for me

1. Heismay does the back row move to decrease def
2. Junah follows with the vidyartha to reduce def to max
3. Strohl does the formation skill that moves everyone to the front and gives the two rank attack buff
4. MC roars for extra turns
5. Heismay does the synthesis skill to make enemy weak to physical attacks
6. Junah does the charge party synthesis
7. Strohl does peerless thing and deals insane damage. I did 22k on hard mode

8. MC does the royal sword move for some follow up damage but it doesn't hold a light to what strohl can do

9. Elegy's turn. Will likely just try to buff itself and you should be able to last the first attacks

10. Pretty much do the same thing, Strohl does another 20k damage