Go with a conventional!
The baitrunner is a bad idea. It's a heavy reel and the baitrunner feature will not help you with eels at all. Eels are more like plugs than live bait.
Do yourself a favor and go get an Abu-Garcia conventional. I'd go with a levelwind.
It's not hard to learn how to cast one.
Here is why I'd choose a conventional over a spinner.
First, for casting heavy loads like bait, your thumb will give you much more control than your finger will with a spinner.
Conventionals are baitrunners essentially. Just toss it in free spool and turn on the clicker and you are in business.
Once you get the control down, if you'd like to upgrade your line to braid, conventionals do much better with it than a lot of spinners.
If you want to use eels, a conventional is your dream come true. Cast that eel into the current, leave it in freespool and thumb it. If you don't get a taker, just retrieve it and start over. If you hook up, turn the reel handle, set the hook home and you're in business.
If you are casting heavier plugs, conventionals will work with them too.
A conventional is more sensitive than a spinner. A spinner makes your line turn at a 90 degree angle making it impossible to keep in direct contact with the line. That's not a big problem on high end graphite rods but since you, like most of us, are on a budget, you need to get the most feeling as you can.
They are cheap. Look around. You can get the basic abu C3 for less than a hundred dollars and get upgrades and have the meanest reel out there.
Guys who fish Van Staals and Stellas, when they reach for a conventional, they reach for an Abu. Some prefer the Calcutta or the Penn International series but the Abus are fine.
Like I said before, the abus are fully upgradeable. The sky is the limit. Want magnetic casting control? Upgrade the bearings? Drag Washers? Handles? Sure and the parts are cheap.
Abu is owned by Purefishing. The parent company of Berkely and a whole bunch of good equipment.
I can only think of two downsides to them. First, you have to learn how to cast one. And second, they aren't the greatest for light lures but once you train your brain, thumb, eyes and ears to act as one unit, you can go lighter and lighter.
The size is your preference for where you fish as well as the rod.
Good luck.