I guess with strawberry guava you refer to Psidium cattleyanum und by "manage" you may refer to actions that stops this plant to take over the whole property (if I'm mistaken, you should ignore the rest of my reply
). On my land in Thailand (4 rai = 6400 sqm) this specie surely starts to outcompete other plants - its very shade tolerant, grows fast and tall, and the new shaded area of an established tree becomes the breeding ground for at least another tree and bit by bit this plant conquers more area. Well, in my case (due to the small property size) I simply start cutting the trees. The foliage makes good mulch, and I use the wood for making biochar.
I have seen pictures that strawberry guava forms dense thickets, but this is not the case on my land - they grow as regular trees, which make it easier to deal with them.