I don't know that I would call your room horrendous. It seems you had two problems.
1) Handicap Room. Well, those rooms are included by law in the timeshare. If it was the only room of that size left available, there was little BWV could do. As far as the sponge mop, a call to housekeeping should have solved the problem with a replacement.
2) Inadequate cleaning by housekeeping. This is a case where you should have made your complaint known immediately to the housekeeping supervisor and requested that the unit be recleaned. While certainly no one should heck into an improperly cleaned room, complaining later will not do nearly as much good as addressing the situation then and there. All
DVC or Disney can do after the fact is basically say "thank you for brining it to our attention."
Since this is, in effect, a room /trip report I am moving it to the Mousecellaneous board.