Just about any car can handle a goodgood gravel road, with the notable exception being low slung performance cars (cars with very little ground clearance). That being said, "gravel roads" vary a LOT. I have seen roads that were the next thing to pavement and gravel roads that had rock gullies which could and would take out your oil pan if you dropped a tire into them.
Looking at google maps, the approach appears to be a Forestry Road. While google has streetview for some forestry roads (which we could use to assess the quality), they don't for this one. In addition the condition of a gravel road can change rapidly due to bad weather. A road that was fine last year may be washes and ruts this year.
The only thing you can do it to go out and see in person. You should be fine, just use your best judgement on what YOU feel safe driving.