Hi PurplePony,
The support system underneath the mattress will have a much bigger impact on the life of the mattress or on impressions than the type of bedframe you decide on which would be more of a personal preference (assuming that it’s strong enough to hold the weight of the mattress, any foundation you are using, and the people sleeping on it). With an all latex mattress … I would generally suggest a slatted foundation (not a box spring with springs) or a platform bed with with gaps between the slats that are 3" or less apart and a midbeam with at least 2 legs to the floor for support.
There is more about the types of support systems that will generally work best for different types of mattresses and some sources for each of them along with a link to some guidelines for metal bedframes and a few platform beds that would be suitable in the foundation post here that may be helpful.
Phoenix