If you feel anything intense at 60mg then you definitely have like, no tolerance whatsoever, and I shudder to imagine what your first experience with heroin would be like if such a small dose of a weak pain pill made you feel this sick. Naturally occurring opiates like morphine and codeine tend to produce stronger side effects vs the semi-synthetics like oxycodone or hydromorphone, but all of these are things to avoid, in the end, mono aside, body weight and gender rarely have any effects on a users tolerance of opiates. The addicts I've met with the largest habits tended to be small, extremely skinny females with heroin predominantly.
anti-histamines are usually indicated for those who are super sensitive to opioids like this, diphenhydramine, meclizine, or hydroxyzine probably would provide the anti-emetic properties to counteract the codeine, but you have to factor in that some users are particularly sensitive to certain opiates. As I mentioned earlier, morphine and codeine are both naturally occurring alkaloids isolated from the opium poppy papaver somniferum, and although im not a healthcare professional, so I don't know about the mono issue but your negative reactions to both codeine and morphine would suggest that an opioid addiction is the worst choice for you, if you felt so horrible on these opiates, i can't imagine how bad your individual body chemistry would handle withdrawals, dependency, etc.
It's a zero win addiction, let me tell you, all opiates do when abused are help you escape or begin to rationalize taking them in a steadily increasing fashion, always needing your dose, always thinking about your next dose, it's like, just guaranteed pain, which is the irony of pain killing drugs, the short and long-term effects must be considered before recklessly jumping into something that will change your life. I've yet to met someone who ever used opiates long term and still believe that the addiction did not hold them back from their full potential. Opiates become your everything. The ups and the downs. For most addicts it produces a synthetic sense of euphoria, feelings of relief, anxiolysis, a high that you naturally chase, and everyone probably surprises themselves at how far they chase it, the high works by flooding your body's opioid receptors and dopamine is released, rewiring your brain's natural reward pathways neurologically, often until that pill, that powder, that dope, that smack, becomes more important than anyone.
In the future, when taking analgesics, in the hospital or when a doctor prescribes them to you, be sure to give them notice of your hypersensitivity and ask for an anti-emetic to be prescribed along with it such as ondansetron.