You could always tack a trellis netting to the tree. I did that with a tree next to the mailbox and it worked out great.
And PASSIONFLOWER vines! Definitely, especially if you're in the freeze-free regions. I'm dying to get my hands on P. incarnata, which is the only variety I know of that is perennial in my area. There is a farmer's market that sells wonderful selections of spring plants. 2yrs ago I saw very healthy-looking passionflwers but had already exceeded my budget elsewhere, so I was eager to buy a pair (you need male and female for fruiting) last spring. I was ever so disappointed to hear that the "boys failed in the greenhouse" and she didn't have any. She did promise that she'll have them this coming spring, so we'll see.
I recall that it's a larval host for several kinds of butterflies, but I'm not sure if any of them live around here. Wait... OK here we go: https://www.wildflower.org/plants/result.php?id_plant=PAIN6