Originally posted by Canid K7's sensor is probably better than most dedicated camera traps.
Probably, but not certainly. Some of the newer ones are very good. But with tiny budget that is no help.
The issue I see with using a DSLR is that the camera will go to sleep. And if it does not go to sleep then the battery runs out. They use a LOT more power than a dedicated trail camera.
The trigger you link to might work, I've looked at them before briefly for lightning shots but never bought one. You will need to make sure the plug end that comes with it will work on a Pentax. I do not think the Nikon one will work, it has a different connector. Some triggers for Canon will work though.
Here is a link to the listings at B&H:
Camera Trigger Systems | B&H Photo Video
Take a look at the connector on your wired Pentax remote and make sure whatever you get has the same connector.
---------- Post added 01-24-18 at 02:05 PM ----------
Hint: restrict search by "Canon 2.5mm sub-mini" over on the left. You can search by "Pentax" as well but that is not going to help.