I do not a have a TT but I do know that fuses blow because they got to hot and melted. The reason they melted might be as stated earlier that your jack needs to be lubricated, non-lubrication makes it work harder. You also mentioned that it does it at either end of travel which to be means that it is binding and causing a higher current draw. If possible stop it before reaching the upper or lower limits. You are correct when you say that you should not replace a fuse with a higher rated fuse, you may end up with a mass of melted wiring. JMO