You don't want to manage a decimal point but you are fine adding two set of units? Like in 6'3?
I do woodworking and framing and approach is similar. Measure out to 6 feet first, then move out 3 inches more. It’s iterative refinement. To measure lengths I always do a few bisections like 3 feet, 2 inches, and 3/4 plus a sixteenth. I can remember a sequence of 3 or 4 integers for about a minute, long enough to transfer the measurement. Give me something like 135mm, and I’ll forget in a few seconds.