if you main goal is to be together asap, the spousal is not likely to win here.
If other factors sway your decision (like cost, paperwork, ability to work/travel) which I believe Cat outlined well then potentially the CR1 works better for you.
I assume you filed in March? Currently you're looking at a NOA2 in early Jan (could be a lil earlier or later) then a couple months at NVC and then interview at embassy. I am not familiar on the Manila embassy timeline, so I could be wrong but I think it's a couple months to visa on hand?? You're looking at being together summer 2024. If you did a CR1, I guess Feb 2025 or later (allowing for time to marry and refile).
This is a significant wait difference but as I say, maybe the other pros of CR1 matter more than 'speed'.
When people quote VJ timelines, remember the K1 has been speeding up, the VJ timeline is looking at NOA2s that took 14-16months whereas they now take 12-14 months and speeding up.