Pure tin will harden your lead some but I haven't ever figured out a decent ratio for adding it to the lead. I guess depending on what the capacity of your melting pot is you could add some wheel weight but I'd go slow adding those and removing any that won't melt right away. The alloys used in wheel weights today are weird, some melt right in quickly while others just sort of take up space and won't melt down.
If you have a 10 pound pot I think adding a 3-4 ounce weight would do the trick. Check some tire shops and ask if you can get a couple new weights so you don't have to mess with grease and road grime. Try to find those that have the metal snap attachment on the weights, not the stick on variety.