For anyone who sees this in the future, just modify the flasher relay by removing the hyperflash transistor. Even if you don't know how to solder, it's still super easy as you can just cut the leads with some tiny scissors or rock it back and forth until the leads snap. The same goes for the rear brake light indicators, all you have to do to bypass it is to depin the wire from the sensor and tie the indicator wire to ground, no cutting/splicing required. Load resistors are a less-than-ideal solution since all they do is generate heat, and in the event of a defective or damaged part, possibly fire. While the risk is extremely slim, a fire in the back of a $50,000+ exotic car isn't something I want to bet on.
Flasher relay modification, the half circle in the lower right corner of the board is where the hyperflash transistor was originally.
Brake light indicator bypass. Just depin the sensor side of the harness and tape it off to the side and short the other side to ground.
Both of these processes are reversible if you desolder the transistor instead of cutting or breaking it.
Also, to give credit where it is due,
WB9RKN originally posted about the flasher modification here, and
mcrider posted about disabling the brake lamp indicator here.
Also, those LED compatible flasher relays linked earlier will NOT fit in our cars, or at least they don't in my 1994. The flasher has 6 pins and as far as I know, is only used in the NSX and a few other 90's Hondas, I searched around and wasn't able to find an LED compatible one.