I recommend the Buyers Products 4" Standard Bolt-On Trailer Winch # 3371903020 for your trailer. This has the same mounting bracket as the Titan Chain Lashing Winch # TCLR965 you found. The Buyers winch has 2-1/2" of space between the frame and the spool for the strap. This will allow you to wrap up a Kinedyne Tie-Down Strap # 4821XW-27F and leave it rolled up on the winch. view full answer...
The Titan Chain Sliding Lashing Winch for Flatbed Truck or Trailer - 6,000 lbs # TCLR912 will work with straps like the Titan Chain Strap for Truck and Trailer Winch - Flat Hook - 4" x 30' - 5,400 lbs - Blue # TCLR430-1-33. This strap is what is recommended for use on this particular winch, but it has not been tested and there is not a shorter length available that will ensure accommodation when rolled up on the spindle.
I've attached the link to all your options for length. They range... view full answer...