Without hearing the High fidelity subs in person, yet, I realyy cannot comment on them. However, based upon the ported response chart for the 12" I would think that they would sound great.
The 12" high fidelity in a 2.0 ft^3 enclosure (sealed) would require a 10db boost at 20hz with a "Q" of 2.00 to have a relatively flat response (to 21hz). Keep in mind, that is figuring response in an anechoic environment.
The 15" version of the high fidelity woofer works in essentially the same enclosure with the same amount of boost from the EQ. I am lacking a couple of parameters. With a couple more filled in I could get a bit more accurate results.
The issue I see with this scenario is that I am not sure how the woofer will handle the added boost at such a low frequency. It is not an "xmax king" by any means. It is quite standard in that department. That being the case, IF sealed has to be done, I feel the TC sounds woofers would work better. However for accuracy and sound quality I think the Dayton's in low tuned ported enclosures would be superb.
As for the Titanic MKIII it sounds quite good. I would recommend a x-over point of near 60hz though with an 18db/oct. filter. It sounded a bit boomy compared to my SVS PB-12 Ultra. However for the difference in price it sounded very good. In my parents house it sounds very good. They have some Emphasys 8" in-wall speakers as well as matching center and rears. They work very well in conjunction with this sub. It sounds great. I was impressed with the performance for the money. The sub plays very deep and completely energizes the room (3,800 ft^3 or so).
One thing I have noticed with 15" subs (in general) is that the x-over point is very critical as is the rolloff. Because they have so much additional surface area, they can really amplify higher frequencies causing "boominess". As I stated earlier, I would use, at minimum, an 18db/oct. filter at around 60hz. You can go higher but you will need to use a steeper slope. This is based upon my listening preferences. In your scenario, this may play to your vices.