I have two of the smaller tubular ones on the underside of the spreader on the cap stays
Your solution sounds good to me. I have one of the tubular ones on an inside shroud just above the lower spreader. A friend has a similar one on each side of his rig.
I would caution against viewing these measures as "yes or no" answers. There was a real world test by one of the magazines many years ago with measured radar returns and distances specified for all of the major technologies. Their best/recomendation was for the full size Davis model in the correct "catch rain" position, and a very expensive Firdel Blipper (sp) was slightly better albeit with cost and mounting concerns. The tubular ones tested were not quite as good as the Davis.
I used a Davis reflector on our backstay, on our prior boat for a decade. It would rotate slightly back-n-forth in a breeze and did somewhat concern me about possible stress on the swages over the years. No problems, but it was a tad worrisome.
The tubular ones come in two sizes AFAIK, and we chose the smaller diameter version.
The biggest takeaway from that real-world testing was that
Anything... is better than no reflector at all. That's because a fiberglass sailboat hull with a rounded spar is terrible at returning a reliable radar signature. We know this from observation, also.
If you have a believer in alien abductions crewing for you, do allow him to wear his crumpled tin foil hat!
So, be seen and be safe........