I made progress and built a 2x7m prototype in living room:

The right laser sensor is lit from the shown mirror, the middle laser sensor via mirror 7m away on other side of the room.
Next I found that laser cannot be driven wih 3.3V, but the laser sensor can (allows use with Due w/o level shifters):

Next I used a single laser sensor with Arduino Due and this sketch:
// Measure Speed of Light
//
#include "bitlash.h"
volatile uint32_t t0=0, t1=0;
void int4(void) {
t0 = SysTick->VAL;
}
void int5(void) {
t1 = SysTick->VAL;
}
void resetVars(void) {
t0=t1=0;
}
void ts(void) {
Serial.print(t0);
Serial.print(" ");
Serial.println(t1);
}
void setup(void) {
initBitlash(57600); // must be first to initialize serial port
addBitlashFunction("re", (bitlash_function) resetVars);
addBitlashFunction("ts", (bitlash_function) ts);
attachInterrupt(digitalPinToInterrupt(4), int4, RISING);
attachInterrupt(digitalPinToInterrupt(5), int5, RISING);
}
void loop(void) {
runBitlash();
}
In order to test how long processing of the (short) interrupt service routines (ISR) takes I did connect the laser sensor with both pins, D4 and D5. I did that because I read this:
https://www.arduino.cc/en/Reference/AttachInterruptIf your sketch uses multiple ISRs, only one can run at a time, other interrupts will be executed after the current one finishes ...
This is a sample session, did light the sensor 3 times (and triggered RISING):
bitlash here! v2.0 (c) 2013 Bill Roy -type HELP- 1000 bytes free
> ts
0 0
> ts
4840 4877
> ts
83440 83477
> ts
49048 49085
>
Regardless of the implications for my two laser sensor measurement plan having measured 37 clock cycles for ISR is nice.
So this is not gonna work in our living room with 14m, because the (first) ISR needs 37 Arduino clock cycles (consistently). The laser beam would need to travel a distance longer than 1000/84*37/3.3=133.5m. Looking at the laser beam after 14m at the kitchen door in photo above (with shadow of laser sensor) we can see that it is not a small beam anymore but is much wider. Not sure whether adding another mirror at kitchen door and making beam travel 14m 10 times will leave enough light for the laser sensor to trigger (after 140m).
Next I will send beam with Due (level shifter needed) and work with single laser sensor.
Will try to determine laser startup time by multiple measurements (14m, 12m, 10m, ..., 2m).
Hermann.