On the subject of temperature with C-41, this may be of interest.
http://www.novadarkroom.com/pdf/2005%20Prospeed%20Instructions.pdfIt's the instructions for the kit I've been using (Nova Prospeed) See the section on Exposure Latitude which can give a clue to the likely effects of getting the timing and (with a bit of maths!) temperature wrong. Not sure how well this maps to other kits, but might give a starting point.
You'd need to be 30% out on dev time to push/pull by 1 stop
At 33 degrees, 5 degrees below the standard, 3:40 would result in a 1 stop pull (30% reduction in time)
So even if you were a massive 5 degrees out, and still processed 3:15 you'd be developing 40% too short, and would be just over 1 stop out. Not too bad considering the latitude of colour print flim? Maybe there will be colour shifts etc, but if your scanning then thats not such an issue.
In the 5 years I've been doing C41 I've never bothered with anything more than the bowl full of warm water method. So long as you have a reasonably large bowl which will hold a reasonable mass of water, the temperature drop over the short 3:15 period is pretty small. Try a dry-run, fill your bowl with water at 38C, wait 3:15, measure again. The temperature drop should be negligable, if not, then perhaps extend development time a little, or add some hot water to the bowl mid-dev.