My recollection of this topic is that the problem is one of 'resetting the clock' rather than increased reaction. With having a few stings over time, they seem to produce less reaction -- but Ibuprofen (and NSAIDs in general?) "may" put you back to square one.
Hence, its not supposed to be risking a dramatic reaction to a sting, just a slightly more dramatic one than you might have grown used to, one similar to when you started beekeeping.
The prudent precautions would seem to be what should be the usual ones. Best having someone else around, or at least knowing exactly where you are and when you should be back. Carry a fully-charged phone and know the postcode and/or gps coordinates of your apiary site - some folk with prior experience have a draft text message with the relevant info all set up ready in their phone. But probably most importantly handle the bees so as to minimise the chance of upsetting them - such as - early smoking, slow, deliberate, gentle movements and hand/glove soda-washing between hives.
There are some medical pro's on this forum, so you should get a better answer, but my feeling is that you might hope that the underlying problem might be tackled, rather than merely reducing the by-product (inflammation) with NSAIDs. And that the choice of whatever anti-inflammatory is probably better guided by your own overall medical needs rather than just trying to minimise a shouldn't-be-serious possibly-increased reaction to beestings.
