I'll take a shot at it-
1- There is no single DIY model, as you'll see if you lurk around this site enough. You can come up with any number of hybrid scenarios, do surgery on an existing bed, change out layers, start over, etc.
2- Since you mention Sleep EZ, they are a good source. I recently had a very good experience with them, and the latex they shipped me was well-packed and in perfect condition. Shawn can provide a lot of valuable advice. A lot of folks here buy latex from Foam by Mail (FBM) which is cheaper, but I don't know how willing they are to make exchanges, etc. There are several others. Keep in mind that there are only a couple of manufacturers for all intents and purposes: Latex International (in Connecticut) and Radium supply nearly everyone who sells mattress-grade latex in this country.
The sleep EZ mattress you cite in #3 can also be for all practical purposes a DoItYourself mattress, as you have control over all the layers, even split L-R depending on how you order it (and eventually end up with). The [very thick and heavy] mattress comes with a nice case for the latex, which you will have to find somewhere anyway if you order just the "raw" latex from them or somewhere else. It's about as cheap to get a whole bed from Sleep EZ as to buy the individual layers, and the casing which they can sell you as individual components. You can also do what I did and order a 3" soft (in my case 19) talalay "topper" which can serve as the top layer of a complete bed if you want to keep your old mattress around a while longer while you experiment. It doesn't end up costing any more, because you can later go with a mattress made of fewer layers- and they will throw in a case big enough for your topper if you want to include it inside the mattress as opposed to keeping it on top. You can order either natural latex (which is a blend for uniformity and longevity) or natural organic latex, which is 98% natural rubber without blending (but not necessarily safer or better). You can also buy Dunlop from them, which some people prefer, esp. for the firmer support layers.
I would urge you to find a store that sells Savvy Rest if you want to get a good idea of what you can do and what it feels like. They use the same latex as everyone else, have good heavy, natural cases, but tend to cost a lot more- the store/shop showing them to you acts as a retailer. A lot of people also swear by FloBeds (online), but they can cost more as well. You may also want to visit a store that sells Pure Latex Bliss beds. They are owned by Latex International now and make a quality, ready-to-go non-DIY line of latex beds. You could get lucky and find one you like right off the bat and try it out before having to take a chance on building/ordering your own. They are only a little more (after negotiation) than making your own. You should be able to end up with an Eastern King one way or the other for between $1800 and $2700 depending on height (number of layers), organic cotton/wool, etc.
Finally, the ILDs you mention are good rule-of-thumb ranges- good place to start. Don't know if you really need 4 layers, through. 3 (S/M/F) may be enough to do what you need. Talk to Shawn. And a one-piece top layer is a good idea provided you and your wife both want a softer top layer.
Good luck! It is a process, but you'll end up with an extraordinary bed if you are patient. Latex is a great product for mattresses.