I'm zone 6, with very hot and humid summers in the Ohio River Valley.
I never get mine in early enough, but if you do, I would grow Italian Tree tomatoes.
They get huge,up to 12' tall (or more!) but they take a long time to mature,90 days or more.
The produce huge fruits, and lots of them, but mine never get to vine ripen, 'cause I plant them too late.
My favorite indeterminate it Stupice , they mature super early and produce until frost, giving golf ball sized fruit.
The most reliable tomato I have grown is Matt's Wild Cherry, 55 days till maturity, tiny but prolific, prone to self seeding.
Left to their own devices, indeterminate tomatoes tend to form sprawling, bushy messes. To get a tidier "vine" you'll have to do some pruning and to get it to climb you'll need to either weave it through the cattle panel or tie/clip them on.
To prune tomatoes you'll start by reducing each plant to 1 - 3 main stems. Then you go through and remove all suckers - best done every week or so. Only do this on indeterminate tomatoes!
With the mild summers we have in western Oregon keeping indeterminates pruned to a single stem and removal of all suckers is the only way I can get a decent amount of tomatoes. At the end of the season I also typically have to cut the growing tips back aggressively to get the later tomatoes to ripen.
I keep a blog over here: bramblewoodhill.com
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