Depends on what you are looking for:
As Lefty said, if looking for fun the 40 framer and it's foramt is one to do.
If looking for a real challenge, the BTM is the choice. Around 42" of oil flat, gutter to gutter. Do well there and it is something to brag about.
If you want to practice for the USBC Open, the BTM 1-2-3 tournament might be the one. It is a singlesm, doubles, trios tournament held at the same house the BTM but on the published USBC Open pattern.
There is also the Bowler's Journal tournament, BJI. This is ususally a more difficult shot thena THS, but not as difficult as the BTM. Also there are daily brackets and on-site cash payout for beating minimum scores.
New this year is the Beat-the-Board tournament at the Orleans, it is a 430 capped doubles event. I don't know much about it as the low cap doesn't make it feasible for me to bowl it.
My personal recommendation is the BTM. Once you've bowled on that, the shot at Nationals feels easy, lol. I have always found it to be a good warm-up to bring my focus into hitting 1-2 boards at the arrows and the break point, something I don't have to worry about on THS.
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Jorge300