We're trying to figure out the most-immersive possible trip we can make in this timeframe — to try to get as much of the feeling of the Sierra as possible. I know it's early to be planning esp given unknown snow conditions, but I'd like to snag a permit early because our window is so small. Plus I'm obsessed

I know two nights don't give us that much to work with, but the factors we're looking for are:
- Big mountain scenery: stark alpine landscapes and lakes, rather than forests/meadows
- Relative isolation: we're not allergic to people, but seclusion helps
- Semi-challenging terrain or cross-country objectives: having something challenging (but not terrifying) for us to focus on is helpful
- First night < 11k': for some reason this cutoff seems to work for our acclimatization.
- (1) Onion Valley: day 1 camp Matlock Lake 10.5k', day 2 dayhike Kearsarge Pass + climb Mt Gould + see Kearsarge Lakes, day 3 out
- Gould seems like a fun peak, but I'm worried about crowding
(2) North Fork Big Pine: day 1 camp Third Lake 10.3k' or Fifth Lake 10.8k', day 2 climb Cloudripper, day 3 out
- This area looks stunning, but I'm worried about crowding
(3) South Fork Big Pine: day 1 camp Finger Lake 10.8k', day 2 not sure (the peaks here seem above our pay grade) but something xc, day 3 out
(4) North Lake: day 1 camp Upper Lamarck Lake 10.9k', day 2 Lamarck Col/Darwin Bench/Alpine Col to camp at Muriel, day 3 out via Piute Pass
- This route feels a little contrived to be challenging (for us), unsure about busyness
(5) North Lake: day 1 hike over Piute Pass and camp Packsaddle Lake 10.7k', day 2 climb Matthes Peak or go see Muriel/Goethe/Desolation Lakes, day 3 out
- Packsaddle looks beautiful. This seems like it might be the least crowded of the options, but not sure
Thank you so much for your help, this community has been an incredible resource for so much otherwise-unknowable knowledge (and dreaming about places we'll never be able to get to).
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EDIT: Forgot details about us: We're relative high Sierra newbs — we've done a few trail/xc trips (Bishop Pass/Dusy/Barrett Lks, Miter/Crabtree Basins/Whitney/Langley, some in Yosemite and Desolation), but have not been to most of the East side routes. So almost anything will be new and amazing to us. We usually aim for 7-14mi/day on-trail, 3-6mi/day off-trail — we're enthusiastic but not-super-experienced off-trailers (particularly bad at choosing lines), though we do rock-climb a good amount so can handle exposure and tedium.