Hey Kerri.
Have you considered simply offsetting your month slightly. If you have a target of 5 days, you could measure may's performance based on volumes received, between 26 April - 25th May. Whilst exceeding your SLA in the first few days of the "month" will result in some work done in the last few days of April being marked toward May this would remove the issue of "out of SLA" replies negatively effecting a different month. If you consider that anything received after the 26th May doesn't need to be done till the start of June, this starts to make a bit more sense.
If you receive mail on the 25th May, you have those final five days of the month still reflecting what the agents are doing in the month of May, rather than when the post was received. Offsetting time periods can be a little confusing at first, but in some instances I believe it is the best way, and I haven't met any big problems.
With the idea of doing a frequency count, it isn't without value. What if you turned it instead to a cumulative count, expressed as a %, to say 16% were done within 1 day, 34% were done within 2 days, 78% in 3 days and so on, with 6+ being 100%. This should allow a reasonably clear picture of how up to date things are, and moves away from the issue of a single % counter being a sort of all or nothing scenario (as mentioned in my previous post).
It is also an interesting exercise, even as a one off, for setting a TAT target. We suggested 3 days, but if you can see you only typically achieve 40% in 3 days, but 86% in more days, then 4 days is more viable with your current set up.
The only issue I would mention with this approach is it isn't great for those looking to draw a clear line between good and bad service. if you failed to reply to any letters in 5 days (and therefore would traditionally get 0% service, which would look terrible) but managed to do all of them in 6 days, is that such a bad thing? It tends to blur the lines a little. In a slightly different context I use a measure like this with phone SL. If a contact centre managed to answer every call in 21 seconds (whilst there target was 20) this would be very good service, even though the 0% suggests otherwise.
This approach is a little more realistic, as there is no clear point where the turn around time becomes unacceptable, but it does take quite an open minded manager, and certainly isn't for everyone.
I hope this gives you a bit more to think about. Really I would suggest playing around with some existing data to see how each ones looks, and get a feel for what you might work with your team.