Two questions. Kind of a weird issue and I'm guessing it's the relay. Have replaced this ridiculous GM design/located air pump twice over the years in my 2004 Trailblazer (140K mi).

1. When I turn the vehicle off and remove the key, after about 30-60 secs, I hear the pump running. I noticed this after twice having the battery drained in the morning after the vehicle sat overnight. Need to check out the pump and relay but it's not too easy to get to with the vehicle on front ramps.

2. Until I can get to it, I just unplugged the fuse for the pump. No more battery drain. I'm sure this is hurting gas mileage a bit but this is my wife's main vehicle and she drives it 3-4 times per week for <10 miles roundtrip. Longest the vehicle ever gets driven is 20 miles roundtrip. That being said, are the any issues with just leaving the fuse unplugged? I mean, aside form being a good citizen of the earth and possible causing increased emissions which I'll risk living with. With this kind if usage, do you think I might be doing any kind of damage to the vehicle.

:thx