B300 First Officer reported the aircraft struck the runway edge lights upon landing. The First Officer stated that the bad lighting conditions and rain made visibility difficult. The First Officer also noted that wanting to get the passengers to their destination on time may have also been a contributing factor.

Narrative

The Captain and I's flight originally was scheduled to include two legs. First leg was from ZZZ - ZZZ1; and the second leg was from ZZZ1 - ZZZ. This airport is a private airfield in which there is 4002x60 ft. runway with runway edge lights. The weather spanning much of State ZZZ and extending east to northwest State ZZZ1 consisted of mostly IFR conditions; with some scattered low IFR and marginal VFR areas. Rain was also consistent with much of this region. After we landed at ZZZ1 on the first leg; we learned that another Company aircraft that was in trail a few minutes behind us doing the same mission had an avionics problem in which they were not able to make it into ZZZ1 and had to divert to an airport approximately 20 minutes away. When this happened; our aircraft went to recover the passengers they were taking and continued their trip back to ZZZ1.By the point in which we made it to the airport to recover the passengers; it was night time and the weather conditions remained much the same: IFR ceilings and visibility with rain. The Captain and I discussed on the ground and in the air the possibility of going into ZZZ2 instead of ZZZ1 and having a driver come to pick the passengers up if we felt the weather was too bad. In flight after listening to the weather; we decided to continue to ZZZ1 and execute the RNAV XX. We broke out of the clouds and saw the runway lighting somewhere around 300 - 400 ft. AGL. LPV minima was at 250 ft. AGL. The Captain landed the aircraft in the middle of the runway without any problems. Once on the ground; the visibility outside the windshield was very limited as there were no other lights illuminating outside other than the runway edge lights; it was raining; and the runway and runway markings were very obscured and glassy due to the rain. The aircraft decelerated. However; about halfway down the runway; I had noticed the aircraft was starting to drift to the left of the runway. I called out to the Captain about 3 times; Come to the right; come to the right; come to the right." Unfortunately; by the time the Captain and I both realized how close we really were to the edge of the runway; it was too late and the left tire went off the pavement and two of the left propeller blades hit 2 of the runway edge lights.Ultimately; I believe our decision to land at this small; private airport was not the right one to make given the weather conditions. If it was not raining; I believe we would have been able to see the runway centerline line markings more easily and our depth perception from the runways edge may have been improved. Due to the nature of the job; I believe we may have had a sense of get-there-itis so we could get the passengers to their destination so they could enjoy their retreat. We should have taken a few more minutes to analyze the weather and the potential risk factors of going into this very remote airport at night in these conditions."