Crystal oscillator using 7404 is unstable
Something you need to be careful with when using the Saleae device is that it takes samples, not continuous measurements. At 24MHz it is taking a sample every 41ns or so. The period for your 3.686MHz clock is 271ns. I'd expect to see some aliasing as the ratio between the two is 6.6:1.

An oscilloscope would be a better testing option.