You can greatly simplify the math.
First of all, start out with a square for LWL (25, 36, 49, etc.)
Then, use 1.33 (one and one-third) for the multiplier (close enough!)
When you get your answer, interpolate based on how far you were between the LWL numbers (a 30' waterline is half-way between 25 and 36, so your hull speed is half-way between 6.65 and 8, or around 7.3 knots.)
You really don't need any more precision than that. Individual hull shapes and conditions are going to give you a half-knot variation anyway.
Fine-tune your preferred cruising speed underway. At some point more throttle doesn't result in as much of an increase in speed. And you'll see your wake building as you try to climb out of the hole. Back down from there and you've got your sweet spot.
Nice shortcut, Tom.
I also find that what you are trying to achieve is not the theoretical hull speed, but more of a "Sweet spot" speed, where you are not raising the bow much, and not making a big wave, but get there as quickly as you want to.
I my case, the math says my hull speed is 8.58 knots.
I can go that speed, but I find it is higher than my "sweet spot" speed, which is between 8.0 and 8.2. At hull speed, I would get there a little sooner, but my mileage would suffer. At "sweet spot" my mileage is very close to 2.0 mpg (nautical miles per US gallon). My stern wave is small enough that I rarely need to slow when going by kayakers, canoes, smaller craft., though I do if the water is otherwise flat.
I use 3.78 litres/USg, 4.54l/CanadianGal
41'LWL
2100 to 2300 rpm on TAMD41s
If my speed rises to the Hull speed, so too do the bow, the height of the stern wave and the fuel consumption.
At 7 knots or less, there is no wave, the boat is flat, RPM is about 1500. I have no idea what the mpg would be at that speed.