And, again, if there is a speedy trial issue, I am certain his attorney can and will raise the issue. if they get close to a legal bar, I am just as certain the prosecution will drop the case and re-file later. The speedy trial issue is unlikely to be the golden egg to get him off the hook unless the prosecution is completely asleep at the wheel.
If no objection was made to the continuance, it is likely that there was an implicit waiver of time on the issue. If not, then the defense attorney can make the proper motion if it gets to that point. Such delays for the results of chemical testing are commonplace - at least out here. Unlike TV, we don't get forensic results overnight and the results can take 30-90 days or more. If it's a BAC and alcohol is present, our return from DOJ is often within 2-4 weeks. If for drugs, 30 days is a speedy return - more common is 90. Other states likely have similar time frames, and in larger counties in my state the time for such results can be upwards of 6 months.