Are you Mormon, Seventh Day Adventist or something else?
Or is it a personal choice?
Just curious, as that's what came to mind when you stated not being a drinker of Beer, wine, coffee, or tea.
Luckily, you stand a very low chance of getting deadly doses of beta radiation in your body. Any place that would have that happen, probably also is likely to have Gamma radiation, which is much worse, and your normal walls won't stop.
Even if you do get a rather large dose of Beta Radiation (you get exposed to radiation every day, via sunlight though), you just need to have a high turnover of liquids in your body. Water works just fine as well...and as you can drink MORE of it than beer before getting drop dead sick, if you are willing to drink a lot of it (but not so much that you throw off your electrolyte balance), you can probably flush the liquids faster than you could drinking beer or wine (but probably not coffee).
Also, if it's extreme enough to worry about the halflife, the extreme way to reduce it is kidney dialysis.
Also, many vegetables (especially those high in fiber) are better diuretics to use (though perhaps not as fun for some).
Strawberries, mangoes and peaches are also diuretics, and natural juices from them probably are just as good as the beer, wine, coffee and tea.
Just some alternatives so you don't die from radiation any easier than the rest of civilization.