Wsmnut: I used to sight in every year at the SPAA range on the tide flats just south of Seattle - elevation 12 feet.
Then I would head on over to the high country of Wyoming with my various Rifles to Hunt Mule Deer and Antelope at up to 8,000' elevation.
I did this for 3 decades.
Indeed there is a distinct and consistent change in point of impact at the higher elevations as compared to sea level!
I heard the atmosphere is only 85% as dense at 6,000' as it is at sea level - which makes it easy to understand the differences.
I often Hunted with various 270 Winchester Rifles but always used Nosler bullets in them.
I would just stop and verify the bullets impact point when I got to my destination.
Doesn't make much difference in point of impact at 100 yards but out at 400 yards it can cause a miss.
My W.A.G. in your case would be the bullet striking 1 1/2" to 2" higher at 8,000' than at sea level (at 100 yards).
There are numerous on-line ballistic sites where you can enter your bullet info (including various altitudes!) and you can print out your info at both elevations.
I use the JBM site:
www.jbmballistics.com/I hope they are still "in business" (free site!) as I now live at 5,400' and sight in at 6,000' and do not need to compensate anymore or re-adjust my P.O.I.
Best of luck on your Hunt.
Hold into the wind
VarmintGuy