Daiwa makes some saltwater spinning reels, but I don't know much about them. Cabela's offers two (Sea Striker?) reels that are built by Daiwa, but have one or two extra ball-bearings, respectfully, and people like the Cabela's versions more than the Daiwa reels. Wright & McGill (Eagle Claw) make two salt-water rated reels, one is the Skeet Reese Vistory, and they are very good reels. I had a Skeet Reese Victory in the 2500 size for a short time and was extremely impressed with it - it was built like an M-1 Abrams - but for the small 2500-sized reel, the handle and grip were too robust and heavy for how I like to fish, so I gave it to my brother - who hasn't managed to break it catching carp. They go up to 6000-size, I think.
I was looking for a 5000-sized spinning reel and was surprised by how sparse the pickings are. People offer Pflueger President XT's in that size on eBay, and my smaller, 4000-series hasn't had a problem in 18 months of saltwater dunkings.
I'm rather fond of Shimano's Symetre, and it's saltwater ready, but it tops out at the 4000-size. I think the Sahara is a better reel (I've snagged PowerPro braid behind the chrome-plated bling at the back of the Symete and that bling isn't on the Sahara) but it also tops-out at the 4000-size.
The Wright & McGill, Sahara and Symetre are all under $100, with the Sahara being the least expensive. Of the three, I'd prefer the Skeet Reese Vistory over the Shimano's. A President XT is in the $80 range and is a bargain at that price, but they are damned hard to break down for greasing and maintenance.
I'm not big on the Penn reels because you can't disengage the anti-reverse on most of them, but the Battle is a great reel, too.