it depends on the carriage the machine came with. Did yours come with a speed controller you want to use, as they can be machine specific, but easy enough to replace.
I could have put a wide variety of machines on the carriage I had with my Grace frame, however one with a small harp would have severely limited how much I could quilt with each pass. Harp height was only a factor for longer quilts. You should look for something that is straight stitch only and has the ability to drop or disable the feed dogs as you won't need them. And one that you can get a hopping foot for, so if you go with a vintage machine make sure that will not be a concern.