Hi bbdude.
Glad to have you back on our Mattress Forum and to hear that your BB Latex mattress served you well for a decade or so. 
Generally, Latex is the most durable of all types of foams and while I can’t be sure of what may have caused your current mattress to be “worn out over time” I’d venture to guess that there may be a combination of factors. and it would be helpful to check out a few things.
How did you assess that your current mattress started to fail? I am asking this because sometimes, while the mattress is still in good condition if some weight gain is involved the mattress may no longer provide good support/comfort to be the best match for you and your wife’. If your BMI is similar to what it used to be 10 years ago and the mattress started to wear out it is possible that your higher BMIs in combination with a softer uppermost comfort layer (if this is the case) are wearing out faster especially for sleepers that move more during the course of the night. Either way, it would be good to determine this before starting the “hunt” for your next mattress.
From your post, I am unsure if you want to stick with the same type of mattress as the current one as you state in point 1) and you just want a better support/comfort fit and sleep a little cooler, … or … as you mention in 2) if you are also looking for a second option that would allow you to replicate the feeling of the rental home bed. With the latter, while you can use it as an indication of the mattress feel you looking for, it would practically be impossible unless you manage to provide the exact specs of the bed (including the cover material).
To start off I’d do some reading on some of the criteria that seem to be high on your list.
• Temperature regulation and the variables that can affect the sleeping temperature of a mattress in post #2 can help you choose the types of materials and components that are most likely to keep you in a comfortable temperature range. Latex itself is a quite breathable material.
• As you are a prone (stomach) sleeper, as you may be aware, this can create issues for your lumbar region if the sleeping surface is not supportive enough to keep your spine in neutral alignment. Your muscles relax a bit when sleeping at night, so maintenance of alignment falls mostly to the mattress itself. Usually, someone who sleeps prone needs a surface that is firmer and less forgiving. There’s a bit more information about common sleeping positions and appropriate sleep surfaces here.
• As you have a little higher BMI I’d especially make sure to choose mattresses with materials and components that are durable.
• I’d revisit The mattress shopping tutorial here which has the basic information, steps, and guidelines including suggestions about how to test a mattress for what is called PPP (Posture and alignment, Pressure relief, and Personal preferences) that can simplify your search and help you make the best possible choices.
• Some local testing is important so you have a reference point for how all the different specs and combinations feel and perform for you (I personally wouldn’t buy a mattress based on theoretical specs or what I call “theory at a distance” alone) I’d focus on finding some transparent and reliable local retailers/manufacturers that are willing to share the mattress specifications you need to know so you can compare the quality of the materials and components to the mattress durability guidelines here I would not visit their store if they are not able to provide this information to you.
These initial readings and questions should narrow things a bit and help “steer” you through the “vast resources” so once you had a chance to peruse them let us know and we’ll be happy to guide you further.
Phoenix