Question: in your previous drilling operation, why the many small pecks? That is a pretty fair sized drill and you should be able to use one of the Haas drilling cycles to drill the first 2.5 inches without a peck, then about a 1" peck after that. It should not take forever. You should be feeding the drill at about .02" per revolution to keep a fluffy swarf that doesn't pack into the flutes too much, but instead augers up well. You might want to temporarily adjust the peck return height parameter if you do a lot of this, so that your drill doesn't come back down hard onto a few chips in the bottom of the hole. Just make sure your peck depth is longer than the peck return height or you'll be there forever
There may also be some benefit to grinding the sharp edge off the drill lips, turning it into a neutral rake tool, instead of positive rake (following the helix angle of the flutes). Grind a flat as wide as your feed in IPR.
With TSC, I suppose you can drill non-stop, that is the whole idea of it.