Hi cjogrady,
First of all … congratulations on your new mattress 
You certainly made a great quality/value choice.
Yes … the Simple Life foundation will work well on a metal or wooden bedframe that has a center beam with good support to the floor (preferably one leg with queen size and two with king size). There is also more about the different types of foundations and bedframes (or platform beds) that are suitable for different types of mattresses in the foundation post here.
Your mattress would be fine on any firm non flexing support surface of any height that provides even non flexing support under the mattress and has good center support to the floor. This could be a combination of a metal bedframe with a foundation, a wooden bedframe (with at least 5 cross slats) with a foundation, a platform bed that is designed to support a mattress directly (without a foundation), or one of the “wire grid” types of platform foundations that would replace a bedframe and foundation with a single product. If you are considering a support system with wooden slats then I would make sure that for a mattress with a polyfoam support core that the slats are no more than about 5" apart but smaller gaps would be more supportive, stronger, and better.
Your other choices such as the design of a wooden bedframe or choosing a headboard or a footboard to attach to the bedframe would all be a matter of aesthetics and preferences but this isn’t my area of specialty or an area that I focus on in my research in terms of sources so outside of the few suggestions for platform beds that are in the foundation post hopefully some of the other forum members that have purchased a bedframe that they like will see your post and share their comments and feedback about the bed they purchased.
Phoenix