I want to know if the rates of hydrogen bonding is different in common sedative drugs and common stimulant drugs. For example, if you had a solution of benziodiazepine dissolved in water, and a solution of amphetamine dissolved in water and placed them both in a freezer, would they freeze at different rates? If so, is it because stimulants and sedatives as a whole have different hydrogen bonding rates to each other because they effect the central nervous system in opposite ways, or just because benzodiazepines and amphetamines do?

Basically, I want to know if hydrogen bonding is relevant in the difference between stimulant and sedative drugs. If not, is there any other way I can record the chemical difference between stimulants and sedatives which can be proven with a (not too complicated) science experiment, that doesn't involve anyone actually taking the drug?

Wow.. you've asked a series of really tough questions. (evidenced by this forum's silence for several days includind my own silence). Here goes.
Rates of hydrogen bonding.. Interesting concept. Honestly I don't know but in general the hydrogen bond in aqueous solution would be very fast and very fleeting and extremely difficult to measure.

Your two solutions question. You should see a difference in the freezing point. (freezing point depression) The actual rate of freezing would depend on many things like circulation in the freezer, thickness of the container etc.

I believe you are on the right track of hydrogen bonding effects causing the differences in the actions of the 2 chemicals on the nervous system. Not so much on the rate as the overall shape of the molecule. The shape precisely fit into spots in protiens that change their function or prevent normal reactions from taking place.

Freezing point depression can be measured. (it may be easier to use benzoic acid or camphor in this case). Melt point,solubility , Crystal shapes,Infrared spectroscopy or spot chemical reactions all will show differences that can be identified. To make a prediction that if a formula has a lower melt point or higher freezing point to it's medicinal values would be extremely difficult.
I believe this field of study of making predictions of physical properties or active behaviors is known as Chemometrics.

The Merck index has large groupings of formulas based on their actions.

When you solve this problem we'll for sure hear your name read in honor in Stockholm.

good luck