interesting problem to have. I've never met anyone with this kind of condition but seem to hear about it a bit lately.
anyway - as for your product, here's my 5 minute investigation:
specs claim it'll work at 2.45GHz with +/-2dB accuracy... which is probably good enough for your purposes.
though it has a range of 50MHz-3.5GHz - depending on what else is going on in that huge band, and its sensitivity/accuracy at other frequencies in that band (think mobile phone radiation! that's way more powerful than wifi, tends to be roughly below 1GHz depending on where you are and what carrier you are with) so you may get some misleading readings if all you care about is wifi strength... ideally you might want something filtered to 2.45G ISM if wifi is the thing that worries you.
power range of 0.01 to 44.4uw/cm^2 might be not make it as sensitive as you'd like?
this site claims you can see from 0.1V/m up to 6V/m from an Access Point
http://www.wifiinschools.org.uk/16.htmlwhich is 2nw/cm^2 (0.002uW/cm^2) up to 9uw/cm^2
so you won't see lowest power wifi signals, if that's an issue.
No spec on what length of transmission it can reliably intercept.. but I'd expect that for this issue it's overall energy that'd be the problem, not burst energy? that said I don't understand the biology and physics of this problem, so it's impossible to say if that matters or not.
Bottom line - this will probably give you a basic reading you can look at to see what's strong and what's weak. but won't see everything.
Maybe you'd be better off with a phone app that gives you wifi strength out of the phone's mobile radio circuit? I'm not sure if iphone lets this happen or not, but there's plenty of wifi analysis apps that you can get for android for free or close to it.
Otherwise a wifi module and an arduino could probably be made to work as a pretty good wifi-only field strength meter if that's the kind of thing you could build yourself. (just check the module can do RSSi on the different channels while not connected to an access point)