In an effort to remedy, I can develop and enforce a noise ordinance that allows for a first warning and then for escalating fees?
You can put reasonable new requirements and conditions in any new leases you offer tenants, but you have no legal right to modify an existing lease without the tenant's agreement.
I gather it's difficult to evict on the basis of excessive noise.
I assume these tenants have a written lease; when does it expire? Are the tenants in violation of the lease as it is written? If you're not sure, go ahead and quote the relevant parts here (verbatim).
The Ohio Revised Code is a little inconsistent, but even though lease violations are not specifically listed in ORC 5321.03 (in the landlord-tenant Code chapter), they are listed in ORC 1923.02, in the chapter covering evictions (which are called "forcible entry and detainer actions" in Ohio law). ORC 1923.02(A)(9) reads "(A) Proceedings under this chapter may be had as follows: ... (9) Against tenants who have breached an obligation imposed upon them by a written rental agreement;"
If there is nothing in the lease addressing their behavior, then you'd be stuck trying to argue that what they're doing "materially affects health and safety," and thus allows you to evict under ORC 1923.02(A)(8). Probably not a winning argument, unfortunately.
If needed, to facilitate eviction, if they are late paying rent, can I refuse their effort to pay rent late and then file for lack of rent payment?
As I read the Ohio law (I'm not a lawyer), you can wait until the day after the rent is due and then send them an eviction notice. Don't wait until they try to pay. It seems quite possible to me that even if they pay late, you can still evict them if you frame it as an eviction for a lease violation.
Be aware that eviction is not generally recommended as a do-it-yourself process. You can send the eviction notice as described in ORC 1923 and hope they move out by the deadline, but if they don't, the next step is to start the legal eviction process. That is a lawsuit, so you really need to hire a lawyer.
In your shoes, I'd go ahead and consult a lawyer before even sending any initial eviction notice, because people on a forum like this can only go on what the law seems to be saying and don't know anything about how Ohio courts have interpreted these laws in previous cases, which can be hugely important.
There are landlord associations out there also, that might be worth joining. I don't know that much about them, but it looks like one thing they do is maintain some kind of list of lawyers who regularly do work for them and their members.