Mybad
Less bud into you measured quantity of alcohol is one way.
Using small dark glass bottles with pipette dripper and having high concentration of cannabinoids to alcohol and use to drip under the tongue. Small quantities for big relief.
As you mentioned adding more alcohol to you solution will reduce the quantity of cannabinoids you will need to keep accurate check on quantities so you know the cannabinoid strength of you solution.
Remember different strains have different quantities of various cannabinoids in you live somewhere where it is medically approved of/legal then a lab can let you know what the levels are.
Otherwise you will need to run your own test as to which strain will help with which ailment, though you will find some advice on this if you do some googling.(I don't live in the US where it is easier to find this out from dispensaries)
You will also have to find out how much concentration of cannabinoid to quantity of the dose. Getting them drunk is not the reason they are taking it if they are patients.
Never give alcoholic tinctures to recovering alcoholics, a tincture made using vegetable glycerine is a good substitute.
Conversely never give glycerine tincture to diabetics.