First coyote I ever called in came to a rabbit tape in a tiny Radio Shack hand held cassete player. It was originally made for use as a dictaphone, something to "talk" notes into so the mighty one-and-a-half-inch speaker had absolutely dismal sound qualities.
On top of that, my rabbit tape was old and hissed like an irritated cat. Then the cheap heads picked up a lot of cross-talk from the other side of the tape so in the silence between the loud screams you could hear a faint rabbit scream played backwards.
It was about the crappiest caller you could imagine, but when I got to the right spot at the right time I had it on for about two minutes when the first coyote showed up. On that one's heels were two more. I was so dumbfounded I darned near didn't get any of them, but the last one stopped for her final look back.
Now I have all sorts of calls and players. I keep buying them because it is something I can do when I can't get out to call. All that equipment probably doesn't change my odds as much as I'd like to think it would, but it keeps me from getting restless.
Come to think of it, my first hand called coyote came in to a metal voice in a two inch piece of plastic drinking straw. And that one may have been a double double. I only saw two, but my son, whose eyes are much better than mine, says there was a second pair that peeled off before they got close enough for me to see.
So yes, I think you could easily start out with a small tape player. I'd still be using mine if I hadn't dropped it and broken it in several pieces. Come to think of it, those things are cheap enough and small enough that I may get one to have around, just as a backup.
So give it a try. Early in the fall, especially, before the new pups get educated, I'd bet you would have plenty of luck.