Like in this post, the higher the exertion level, the more likely I will get AMS
Exactly right. Just as important as acclimating, or even more so, is being in excellent aerobic condition and hiking slow. The lower your cardiac output (stroke volume x stroke rate), the less oxygen you need. So either be in top aerobic shape or hike slow (one mile per hour, if that's what it takes to hike within your means at that altitude), or preferably, both. If so, then you can probably just drive to the trailhead from sea level and bag the hut in one go without taking any meds. As for HR, I would cap at it under 75% of your max HR (never let it get one beat above that) and average no more than 65% on the ascent (preferably 60%). And take breaks for crying out loud. It's not a race.
