If they want it uncontested they'd better darned well pony up with some visitation time with your kid if you drive all the heck to Alabama for it. They're not exactly showing good faith here.

Not that you were going to leave the kid with her, but she had ZERO cause to withhold him from you altogether, and here she does, and THEN she has the audacity to want an uncontested divorce? there's something wrong there. Get yourself to a lawyer & get some temporary parenting time immediately.