If you check the night before, most of the "planned" activity that requires a NOTAM will have been posted. Anything else is likely to be short term and localised. If your departure aerodrome has a FIS or ATC service, they will be able to tell you about any pop up NOTAMs. If you flying from a farm strip or A/G then a call to the nearest FIS provider will give you an up date. Lack of internet access or mobile phone coverage shouldn't stop you from aviating.