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TT out of position is a hand that doesn't want to play a big pot unless it hits a set.

The way to do that is to limp preflop, or limp/call a raise and play poker.

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Your logic is off. You lose value by not raising your 10s preflop - gap theory dictates that people WILL fold to your raise. The hand becomes MUCH easier to play if you make a preflop raise and then take a standard line. On the flop/turn, that's when you play poker. Limping and calling a raise is weak/passive. What do you do then on a favorable flop of undercards? Check/raise OOP? Lead and fold to a big raise? Action is much easier, you will win more pots, and most importantly, you will be able to make easier decisions when you are the aggressor.

As played, I really like your line. Such a weird hand - while I was reading it it actually did occur to me that it would be so much easier played if it were limit poker.