Here are a few ideas for a hidden surveillance camera on a porch in a remote location:
The bulb is a great low cost way to get night vision recording. It draws its power from the light socket.
LED Bulb Spy Camera - Night Vision
$239.95
Motion detecting recording with night vision, saves video to micro SD card - up to a full week of video storage View Details
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This next one comes with an option of having the camera portion of the device on the end of a long cord. You could keep the DVR inside and have the camera outside. It has good vision in low light situations not pitch dark though. It’s a good option if you get that motion activated porch light.
Mini Spy Camera with DVR
Up to 50 ft long camera cord - battery or plug in power, records to removable SD card, great night vision without IR
Price: $329.95 View Details
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Here is one with cheap Infra red light. The LED array on the front will have a faint pink glow to it in pitch dark conditions.
Motion Detector Hidden Camera With Built-In DVR and Audio
Motion activated video & audio recording with infra red night vision.
Price: $149.95 View Details