At 10,000 ft you are most certainly going to lose power! You'll have to use lower gears going up and your pace will be slower but shouldn't be a problem. Going back down the brakes will be an issue. Use lower gears and engine braking when possible, don't let your speed get so high you need to use heavy braking, and most importantly, do not ride the brake. Riding the brake will cause overheating quickly. If you do have to use your brakes a lot then stop periodically to let them cool.
Since your trailer isn't that heavy you should be find. Hope you have a Great time!!!
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