KineKilla I am not a engineer but I dont think the strap to the a arm would work. The geometry PROBABLY wont work. Do you have a XP or regular general ? I ran my limit strap on the drivers side on the front. I have a inferno heater so no thermostat to get in the way, I still mounted a aluminum sheet around the hose to protect it from the strap. I was going to cut back the brake master cylinder bracket to make room for the strap but thought to cover the hose was easier. The rock riding I do is much better with the sway bar removed IMO.
I originally ran my strap to that sway bar mount, I really liked how well it cleared everything(thermostat etc.) But I felt that the leverage was a little too much that far down on the A arm so I moved it to the extended shock bolt with bushing. It does rub slightly on thermostat, tho not enough to worry about. That being said there really isn't that much unsprung weight on a SXS and I'm sure it would be fine.
Actually in both cases you are limiting the amount of distance the A Arm shock mount can travel from the upper shock mounting location which is a fixed point. Albeit the leverage against the strap is greatly increased mounting to the lower sway bar location vs parallel to the shock. Have ran both and both will limit downward travel of A-arm thus limiting shock extension preventing TOPPING OUT your shock. I do agree the best leverage is inline with shock. That being said you could always weld a tab to the frame like most race trucks, crawlers etc which do not connect to to the shock bolt at all but achieve the same results.