Regular T-Spin Double
TST T-Spin Double
Imperial T-Spin Double (two TSDs)
TKI 3 TSD Opening With TST finisher
Try one of these when the O piece comes late in the first bag.
T-Spin Double Replacements
With no T in sight, save the TSD setup for later and use an overhang to get the T down in the hole, leaving a Super TSD setup behind.
You might try replacing the TSD with a TSS, leaving a TST-TSD setup behind. Sending a small amount of garbage at first may tempt the other player to overstack, leaving them vulnerable to a large attack.