If you've got climbing gear and/or rappelling gloves, just use Rafa's entry. Straight onto the roof is still a lot safer than sneaking past the cameras. Clipping the fence sounds good as an exit, but for entry you never know if it gets spotted while we're working.
Fixing the wire: even I can do that, that's why we just melt a wire instead of doing any actual harm to the electronics (although our fake tech guy can always say something like "Man, this thing is totally fried!" to make it sound better). But we can't do the fixing you silly, we're not even there!
As for guards and spider: Depending on the indoors security, we might not even need to take them out. Face and mechanics can keep the guard(s) busy... And the spider, we took out his cams right? If there's more electronic security indoors though, we'll probably need to take him out or spoof the system. (But since they're only done with the physical security and only now starting with the electrical, we might get lucky.)
(If there's really 3 guards for the entire park, I'm guessing the two others will be checking out other places in the park. The reason you have 3 guard is to cover 3 times as much ground as one, no?)
If going the peaceful way, the "tech team" might be more useful doing the fixing and distracting the guard(s) than taking out the tiger. Anyone can stun the tiger; if you're -that- worried about using gas or S'n'S to take out the cat; just pass the Slab darts to anyone else.