Hi this may well be possible.
The Enviromon system may be suitable for your application. It comprises of a number of component, a data logger and up to 10 converters. The data logger is initially programmed on the computer and then can be left to run remotely as it has a microprocessor and memory. It can then be connected to the PC to download the data, or it can be just left to connected to your PC.
There are a number of different converters for different purposes really, in your case the EL001 with the EL015 thermistors may be suitable.
You can also then use the EL042 alarm/relay unit to trigger on an alarm condition.
So I would recommend the following really:
http://www.picotech.com/e_starter_kits.html (Temperature kit)
and
http://www.picotech.com/e_alarms.html (EL042)
Note: The system samples once every minute (actually averages readings every minute) so an alarm condition might take 1 or 2 mins before it is noticed.
Kind regards
Ziko