Your problem: “When I try lengthening my glide and taking fewer strokes, I go slower.”
Quick turnover: Stop doing Catch-Up Drill. Instead, remove the pauses in your stroke by increasing your stroke rate, and focus on a stronger pull instead of a longer glide.
Swim Golf: Swim a 50 and add your number of strokes with the time in seconds. Try different stroke rates to achieve the lowest total number, which will determine your most efficient stroke.