Disclaimer: I'm not an intellectual property attorney - and I am not attempting to, nor qualified to give legal advice.

That said - here is what I know on the subject. Copyright was once explained to me as a bundle of sticks, where each stick was a different right. Two sticks that might be important in this situation would be:

1. Distribution Rights: Creating the sheet music in itself may be harmless, but copyright does cover right to distribute - and so your idea to distribute for profit may infringe upon this right.

2. Derivative Works: Copyright also gives the owner the right to create derivative works based on the original - so even if your version is different - it becomes an issue of "how different" - so you may also be infringing on this right.

One path forward is to determine who owns these rights (the original artists or label often sell the rights) and license the right to produce and sell the sheet music. My guess is this could be cost and time prohibitive.

Another would be to see who is already selling sheet music for these songs - and simply act as an affiliate, taking a portion of the revenues per sale.

Consider trying the affiliate route first, to determine how many of these sales you generate from your audience, before going to the trouble of licensing the content etc.

I'd be happy to discuss ways that you can validate demand within your population before you do either, and recommend doing so with or without my input.

Cheers,

Ryan