Any suggestions on how to get the 2164 filtered sets down to 24 containing at least one 3/5 for a start?
Only dedicated wheelers can do that. The principle is you know somewhere in your 2164 lines is the winning combination but of course you don't know which one it is. However a dedicated wheeler can take those 2164 lines and build a wheel with a requested guarantee let's say 3 if 5 and it will use the minimal set of X lines that can offer that guarantee using combinations of those 2164 lines. If the next draw to come is one of those 2164, you get the guarantee and also have an exposure to the jackpot (assuming one of your lines is the winning combination) proportional to X/2164. In my program this is called the "mother covering" concept where those 2164 lines are the "mother". Focused initial lines (containing fewer than the maximum possible numbers) are best suited for this type of construction, otherwise in your case you have to construct a v=total drawn numbers, k=5, t=3, m=5 wheel (derived from the mother) for your example. How many X lines are needed to offer a desired guarantee depends only on the "structure" of the initial lines. A dedicated wheeler will produce the minimal such wheel.