The part that seems odd to me is that someone desperate can procure a dose of Medical Fast drug, hide in a shipping container and wake up 30 days later an a new world with less chance of death that a legally approved mode of travel to the same destination. It really is an oddity for the setting and rules ... particularly when other, safer methods of travel are forbidden under the rules (like a rack of bunks to average 6 passengers per 4 dtons rather than 1 passenger per 4 dtons).
Medical Fast? I've not seen that in Traveller Drugs Lists.
There's normal Fast drug - which lasts 60 reference days, and slows all actions down by the same factor. Containerize yourself on Fast Drug, you can't react to any outside stimuli in a reasonable manner. A half-second think time takes 30 seconds... and a 60:1 compression is a 6-octave shift in perceived pitches. Your average ship's announcement is "beyond your hearing range." Your vision, which is about 20-30 hz, becomes 1/2 hz refresh. You lose persistence of vision for people; they simply move too fast. a shift in gravity, even slight, or a moment of imbalance is a fall... and one that you cannot react to in time.
Fast is an emergency drug for a reason - you're useless and vulnerable until it wears off.
So, generally, you need to be unconscious for the trip.
Oh, and technically, given the wording, taking the antidote can be considered to be a second drug dose... which means the synergy rule applies - 1d6 x 1d6 damage. Mean damage is 12, mode is 6 damage, and median is 10, min is 1, and max is 36... If you add a 3rd drug - a general anaesthetic (not covered in mechanics, but real world medical stuff, and thus to be expected), you have 1d6 x 1d6 x 1d6 damage; mean 42.875, median 30, mode 12, min 1, max 216.
Let's look at the odds for safe fast drug travel. Anaesthetic and Fast... 2 drugs. 2 months later, you wake up, lord knows where...
Wilson Weak (555777) has a 13/36 chance of dying. 36.1%
Joe Normal (777777) has a 6/36 = 1/6 chance of dying 16.6%
Herbert Hale (CCC777) has a 1/36 chance of dying. 2.7%
Billy Bigbuff (FFF777) has a 0/36 chance of dying.
None of these are bad enough to cause the truly desperate to not go, but you'd probably need to be really desperate.
Now, add antidote...
Wilson Weak is now hitting 160/216=74% chance of death.
Joe Normal is 130/216=60% chance of death
Herbert Hale is 96/216=44% chance of death
Billy Bigbuff is 78/216=36% chance of death
So, for Safe travel, it's much more dangerous than the low berth for many.