Welcome...
What are the room dimensions, all of the subs you listed are lacking when it comes to a "good" loud sub...
I build houses {or used to when people had money

} and knowing what I know about home theater {which isnt a huge amount, but Im a good listener} you are not going to be happy with a built in sub...
If you want to get ready for a nice system, put a screen shot up here of the room plan, and let the guys here give you suggestions on where to have your wiring plates ran, if you want to build something in, build in a component closet.
I know if I were rebuilding my house {its a year old lol}, I would have built in a component closet and ran my wires a little different... I did run a sub wire but I wish I ran it to 2 spots so I could run dual subs easily {and I wish I ran XLR and RCA to each spot}, I also wish I ran a few more RCA and HDMI cables from the component rack to the TV... plus haveing provision for a center channel to slide into the wall a little, instead of mount on the wall would be nice... But shes all painted now, no turning back

...
Anyway, as far as built in subs go I wouldn't bother but if I had to, the only one I would consider is...
Home Audio - In-Wall Subwoofers problem is the price at $4500 each, they are not in many peoples budget...
An affordable option and what I would lean towards, is to have a box builder like {tekton designs, or their are a couple guys on here, annunaki's work looks really good} build you an enclosure, that will fit between your studs {going to look just like that JL audio sub} and then pick a sub {something in your budget} and pick an amplifier...
Build the enclosure- $300 {give or take} I did some quick math, just for fun, if you want to build a box close to what jl audio recommends {sealed - .80}, using 3/4 mdf with no bracing your box dimensions would be 14 1/2 X 3 1/2 {that is what you have in a 2 x 4 wall} X 58" tall will get you there... But JL audio posts there dimensions for the IWS on their sight, you could have your builder follow that, but I would go stud to stud and sheet rock to sheet rock...
Sub $ 600 for round numbers after you buy wire and a grill -
http://www.ebay.com/itm/JL-AUDIO-13TW5V2-4-CAR-13-5-4-OHM-1200W-MAX-SHALLOW-MOUNT-SUBWOOFER-SPEAKER-NEW-/120998786773?pt=Car_Subwoofers_Enclosures&hash=item1c2c16f6d5&vxp=mtr
Then an amplifier, I wouldn't use a plate for a built in...
http://shop.emotiva.com/collections/amplifiers/products/xpa100
So the sub, enclosure and amp will be in your budget and would be one heck of a unit..
That ampl will push 400watts at 4 ohms IT WILL BE LOUD