Half-Ton Trailer Camping at Yosemite

Thanks!  I know I was a little short on info.  It's actually not the mountain driving I'm concerned about, it's whether the truck is up for the grades.  It is a 2020 F-150 with the 2.7L Ecoboost and towing package which tops out at about 9,000 lbs capacity.  I haven't weighed the trailer but your guess matches mine, probably about 6,000 lbs fully loaded.  We went up an 8% grade recently and it felt like that would be its limit.  The transmission temp was 210 (I'm not sure how much that matters but it's the hottest it's been since I've been watching).  That was a relatively short grade, maybe 3-5 miles.  I don't know how it would handle a long uphill slog because this is only our second season and haven't encountered anything like Yosemite.

I've been trying to find someone who's actually been up these roads because the guidance on the website is ambiguous.  For example, on the CA-140 (Big Arch entrance) it mentions a 45' vehicle length restriction but offers a 60' combined vehicle restriction (max 35' trailer).  The CA-120 entrance mentions the 45' limit but not the combined vehicle.  I'm not sure if that's a fact or a website oversight.  Also, I've read to take the CA-140 entrance because it's flatter and < 3000' elevation but once you're in the valley if you need to go to a campground at 7,600' then I'm not sure if it makes much difference taking CA-140.