I am trying to measure the speaker response before the room kicks in, above 300 or 400 or 500Hz (?).
Indoors, I did this stuff for years and don't trust looking at the spikes. Ijust don't feel there's a substitute for a measuring tape and a calculator.
I used a custom ceiling tile to mount coaxes etc into, microphone at 1m, the ceiling was let's call it 3m. This meant the direct sound hit after 1/343=0.00292S, and the floor bounce hit the mic at (3+(3-1))/343=5/343=0.0146S, so a clear window of 0.0117S. That meant a valid data point down to 1/0.117=85 Hz.
NOTE: that does NOT necessarily mean your data is good down to 85 Hz per MLSSA's Doug Rife. Maybe with a gated sine, but something with an FFT means a good data point every 85 Hz: 85, 170, 255, 340...not a lot of resolution down low.
If you're trying to do this in a house with 8'=2.43m ceilings, with the speaker let's call it 1.2m up and the mic at 1m, the direct sound is still 0.00292S. The floor and ceiling bounces oh I forgot, you need geometry class. The first bounce is along a path which is two hypotenuses of two triangles of sides 0.5 and 1.2 meters = 1.3x2 =2.6m, or 0.00671S. Subtract the direct 0.00292 for 1/0.00378 = valid data points only at 265, 530, 795, 1060...you can see this is not really too good.
AND there is an assumption that you have
totally cleared out a kind of ellipsoid all around the measurement area.
--> If you're trying to measure just the speaker, better outside on a large ladder (maybe facing sideways to try and minimize reflections off the ladder.
Anyway I hope you get the idea...if you want help with the calculations, quote me and reply.
P.S. You also have to consider measuring distance versus size of the speaker. If for instance the speaker is a multiwoofer tower, 1 meter is not far enough for all those drivers to really integrate. 1m is really only OK for coaxes and maybe very compact two-ways.