Sign Carrolle, and the 3 draft picks. Pick up a few 1-2 years vets to fill in the bench. Let the young core develop and learn to play together. With one of our picks there will be a pg available. Maybe sign Jack or Teague if you can get them at a reasonable deal (meaning MLE), for a reasonable amount of time (meaning 3 years max). We will not be contenders next year but we won't be terrible. Get an idea of what we need next year and roll with it.
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Use the cap space at the trade deadline to take 1-2 year left on their contract vets (like Gasol or similar)and getting more picks. Preferably in next years draft.
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Panicking now and signing guys just to sign them or overpaying bad teammate chuckers is absolutely the worst thing we can do this off season.
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Your concise forward looking plan is exactly what we don't need and it's unrealistic to boot.