I like that general idea a lot. A couple problems. Yeah, we're gonna be hard pressed to split the MLE between a good wing and a good big. Another, that only gets Houston like $7M under the cap. There's no way they make any kind of splash with that little room. Houston knows their best bet to land a FA (Bosh) is clearly to S&T, which I think they might include Battier as a part of.
BUT, Houston does have 4 SF's (Ariza, Jeffries, Battier, Budinger). What was up with Battier getting a lot of DNP - Coaching Decision's towards the end of last season? If they are looking to shed their most expensive SF, man, I would jump on a Battier for 'Sheed deal in a second. He's only 31 yrs old (even though it seems as if he's been playing forever) and really fills that Posey role and is on the last year of his deal. Then we have the ability to exercise his Bird Rights the following season if PP wants what Danny deems an undesirable contract.
Rondo/Nate/Bradley
Ray/TA/Bradley
PP/Battier/Scal
KG/BBD/Scal
Perk/MLE Center/Erden
That's 13 players. We'd just need another vet. min big in case Erden doesn't pan out. 15th roster spot, I don't care. I like this team. It's a slightly upgraded version of the team that was 4 points away from a championship as long as that MLE big works out.
Only problem: that's a $90+M roster (assuming Ray 10, Nate 4, TA 4). Is Wyc willing to spend that? I think we try to get Ray for 8 or 9 and maybe don't resign Nate, but instead do as the OP says and get a vet min pg like Livingston and hope he or Bradley can play.

I liked Nate. That trims us down to around $86M. Not a bad price for championship contenders.