The only valid reason for a custom solution (that I could think of) is if you need to run repricing in the background, e.g. because you have a huge number of orders. If this repricing is going to be performed by a technical person, you still do not need a dedicated ABAP program, this should be possible with LSMW. You can use BAPI_SALESORDER_CHANGE in LSMW, which is trivial and a functional consultant with moderate LSMW knowledge should be able to handle this without the assistance of a developer.
Still, I cannot help but think why one would need to reprice a huge number of orders so often. If this is a one-time activity, it does not make sense to create a program, right? Is there something wrong with the currently configured business process or with how the business use the system, or you have technical problems resulting in incorrect pricing? If this is the case, it it more productive to fix the source of the problem instead of trying to cure the symptoms.
Edit: I hope that the business users are aware that you can't just reprice orders without contacting the customer and receiving confirmation that the order should be processed further with the new price.
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