I was wondering why the confirmation time wasn't a challenge to you. Do you usually accept transactions without fee? What if someone makes a huge transaction, will you accept their payment with zero network confirmation? What about the fees? What if some customers pay very low fee causing longer confirmation time? Do you set the fee for them?
The OP wrote that he also uses LN so that he can partly bypass the problem with waiting for the first confirmation - but any on-chain transaction that is not marked as RBF can be accepted without confirmation because it should not be possible to double-spend. Fee-free transactions are not possible when it comes to Bitcoin anyway, and sometimes paying the minimum fee can result in a long wait for the first confirmation.
Personally, I would always have an open insight into the state of the mempool and advise customers on the optimal fee.