Your txid is enough. Use the txid of your unconfirmed transaction on a free accelerator like:
https://www.viabtc.com/tools/txaccelerator/.
Consider mining pool hashrates in relation to others to know how fast the mining pool can mine a block. But if they they (I mean the mining pool) include the transaction to be accelerated, your transaction will be mined at anytime that any of the mining pool mine a block
That is an interesting way to accelerate the transaction, and that is what I wanted to include in one of my ideas here: Way to Send Bitcoin without Internet [Theoretical Idea]
All we want to submit a txid to the miner and they can do the rest.
This post gave me little hope for the topic that I posted above. Since we are already accelerating the transactions by manually submitting our txid to the miners then sending BTC offline is no big deal, via SMS.
About the multiple accelerator submission: So does it mean I can still send txid to multiplier miners and whoever includes it to the immediate block will be able to register it as confirmed while others will just give me more confirmation by increasing the confidence level?