Example: “I’d like a coffee and/or a coke.”
Alternatives (based on rewording):
I’d like a coffee or a coke or both.
If not a coffee or coke I’d like both.
I’d like a coffee, coke or either.
I’d like a coke together with a coffee or just one of the two.
Alternatives (based on synonyms or antonyms):
(Not for starbucks) Therewith a coke or coffee, both.
I’ll take no more than a coffee and a coke (Usable with nearly no waitress or waiter anywhere, ever, without several questions being asked as a result; therein forcing the and/or problem).
Between coffee and coke, I’d also take either.
If not a coffee and coke then either.
(Maybe mathematician) I’d like a coffee and coke, bisect otherwise.
I’d like a coffee or coke or to combine/join/ them.
I’d like a coffee, coke, or their combo.
Several more examples no doubt abound, you just have to think about verbs, conditionals, adverbs, a thesaurus (for every such instance) a dictionary for usage (setting mostly) and Google (usually Stackexchange). “Combo” is great in this particular setting, for example, but would have to carry the unwanted connotations of the setting if retooled for some other register should it be imposed for example on most any other conjunctive phrasing.
Once you get into the rhetoric of the language (idioms, phrases, etc), for example variations of phrases like to cleave twain, you’ll see how much the language has to offer and all of the implicit propositions that the and/or phrase ignores. At the same time, you’ll no doubt have renewed appreciation for the allegedly problematic and/or.
Special-usage dictionaries and bilingual dictionaries (online) as well as various such language forums may be a last-ditch effort, but look at it like this: Most of the answers have taken no more than 30 minutes. The quality of them has depended not on cognitive qualities (“intelligence”, attention, memory, etc.) nearly as much as on experience. Still, that’s just thirty minutes. If you dedicated a day to the question and about 50 very good references, I guarantee you you’d really surprise yourself. English is the richest of languages, by far, and if another language has it, it’d just be by coincidence. For example Polish might because it’s so rich in cases, Latin and Greek as well, as mentioned in part above. The main tool will be your own resolve.