Back in the seventies, I did own a 530 with a hoe. I cannot tell you the exact weight of the combo but I can tell you this. I needed a tag-along float to carry it and I had just bought a brand new 4 ton tandem from a local trailer manufacturer to carry the little Ford loader I had been using. When I told the trailer guy of my new acquisition, he said that the 4 ton unit was way too light for the 530 and that I had to move up to his 6 ton tandem. And he was dead right because other loader/backhoe owners with the same size machines were all using 6 ton floats. Today, a new 580 needs a 9 ton tri-axle float due to increased weight. Even a 6 ton won't cut it for the newer TLB's out there.
Your 7000 lb trailer is lighter still so I wouldn't suggest even trying to load the 530 on it. Rent or borrow a six ton float and bring your 530 home safely. It may only be 35 miles but stuff happens even during short trips.