There are no portable devices. You have to comply with the "FULL" protocol, that is, pump a given volume of gas into a cartrige containing an adsorbent, after filtration , at a given temperature. In Europe refer to EN 1948 1; If you do not want to do that, then the only reasonable thing is to quickly determine the amount of a surrogate; could be CO -but this is risky-
Other (better) surrogates may be determined by GC-MS methods.
At any rate a calibration is needed , if you want to use surrogates, against the "FULL", standart, referenced method,
The reason is that the relationship between the surrogate and the dioxins is plant-dependant.
In incinerators we use either the "FULL" (EN 1948 in Europe, I think EPA 1613 in USA)", refrence method (3 to 6 hours sampling) + analysis in a lab , using High resolution GC + MS
or semi continous (2 to 4 weeks sampling, then analysis of the cartrige in a lab (high res GV + MS)
Again this is risky. I have followed this topic closely, and, to the best of my knowledge, all attemps to find a simple & cheap way to get at the dioxins have failed, or at least have failed to be of a broad enough usage.