C208 Captain reported on departure flying the wrong SID resulting in flight towards terrain event. ATC vectored the aircraft back on course and climb above the terrain.

Narrative

I was flying the second leg of an airplane swap between ZZZ and ZZZ1. I had filed IFR and received the route ZZZ-ZZZZZX-VX Filed and 10;000ft. I programmed the route and departure into the G500 and ForeFlight and verified them.ForeFlight automatically brought up the ZZZZZX SID onto the moving map where I reviewed the initial climb instructions. In this case it was 'climbing right turn to 320 for vectors'. I then switched from Foreflights 'maps' page onto the 'plates' page; in order to reduce visual clutter (NOTAMs/Traffic/weather/etc); and zoomed in onto the initial climb.This was where the screwup started; as I was no longer looking at the ZZZZZX instructions. I was now looking at the ZZZZZY SID; also out of ZZZ. I didn't realize this since I was zoomed in on the instructions with the SID name offscreen. Tower gives the takeoff clearance and I depart Runway XX. I glance over at the (now incorrect) SID instruction and start a left turn towards ZZZZZ2; the first waypoint on the ZZZZZY. Tower instructs me to contact Approach on XXX.X and I check on.At this point in the climb I realize something is wrong; as what I'm seeing on the G500 flight plan is not matching the plate; and waypoints are missing. I thought that I might have deleted the waypoints somehow; and tired reloading the ZZZZZX into the G500. No luck.Right now; the weather is CAVOK VMC; and the airplane is climbing on a heading of 255 towards the first waypoint on the ZZZZZY; albeit without the SID in the G500. I believed I had some time to figure this problem out; since I wasn't at risk of hitting anything.ATC calls with Aircraft X; low altitude alert; minimum altitude for that sector is xxxx" I'm still climbing and on heading; but I realize there's no way I should be getting a warning like that If I'm on the correct SID. ATC vectors me to 320 and asks if I can maintain terrain an obstacle clearance through 6500; which I can.I've now zoomed out on the plate and seen that I had been trying to fly the ZZZZZY instead of the ZZZZZX. With the weather being perfect; I had not felt I needed to immediately ask ATC for help with my troubleshooting.The rest of the flight was uneventful."