The general rule has always been that if you may not interline checked bags across separate tickets. This has been the general case for IATA carriers for 60+ years and you should always presume it to be the case.

OW instituted a policy whereby it would do this for passengers transferring across tickets and accordingly when it abandoned that policy, it had to publish a specific policy exception.

There are limited circumstances, which will not work here, where it may be possible to check bags when transferring across two OW tickets. Typically that is when the two tickets are booked under a single PNR. That would be rare and would usually require an experienced TA's assistance.

Do understand that one of the benefits of a connection on a single ticket is that your bags are checked through and that your connection is protected, e.g., that if you misconnect, at an absolute minimum, the carrier causing the misconnect will rebook you.

On separate tickets, you will not be able to check your bags through and you likely will not have any protection should you no show for your onward flights. The lack of a connection may also cause immigration, customs and downstream visa issues in certain situations.