It's a matter of personal preference. Either one will get the job done.
I run spinning reels simply because I like to reel left handed and left handed baitcasters are more expensive.
There is no need to buy the most expensive reel for spider rigging. I use Pinnacle tiny bolt ultra lites. They are $19.99 at Academy. Shimano makes some reels in the $10-$15 range that work just as well.
Hope this helps