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Your only choices are a public service like slipstream.mara.com which have already been mentioned in this thread, for the first time here:
https://bitcointalk.org/index.php?topic=5218972.msg64390395#msg64390395, where your transaction is queued non-publicly to be mined in one of the pool's next blocks. You need to trust the pool and the non-public "mempool" to not screw you over.
You solo mine the block with your transaction, which is a more or less theoretical option as you hardly can afford the ressources required to solo mine a block reliably within a decent time frame. You don't want to wait days, weeks or months to solo mine your block to confirm your solution to a puzzle when you compete with other potential puzzles solvers.