Open folding the SB sucks when there are antes in play. Some of the best cash game players are now open limping the SB because even without antes the pot odds are so enticing. Of course if your opponent folds too often to raises or rarely 3bets and plays badly postflop, then you can get away with raising almost anything from the SB, but you've done a good job of spelling out conditions under which it's not going to be profitable to open raise any two. That leaves you with three options:

1. Develop a raise-call range, a raise-fold range, an open shove range, and an open fold range. This is what a lot of people do, but it's unfortunate to fold anything getting 5:1 against a random hand.

2. Same as (1), but open limp with the hands you were going to open fold. The problem with this is that your limping range is transparently weak, and many good tournament players will blow you off of it with a raise. This is a viable strategy against weak opponents though.

3. Open limp 100% from the SB. This is the only way to protect your limps against a good player. Open limping the occasional monster isn't sufficient because you will still have air the overwhelming majority of the time. You also need to defend appropriately once you do this. In other words, this may lead to you limp-shoving or limp-calling a shove with A6o.

It may be possible to do (3) and still have an open shoving range with certain hands that have enough equity to shove 20 BBs or so but REALLY want fold equity. This would be a few of the hands you mention, like A2o, JTs, 22.

The thing you didn't mention about limping, which I think is really most important, is being able to steal after the flop. Your average tournament player is much more capable of handling wide range situations pre-flop than post. Many will reshove appropriately against a small raise but won't recognize when Jack-high is too good of a hand to fold to a small stab on a dry flop.

But yes, the short answer is that I think this is something you should experiment with. 🙂