For a simple point and shoot it's extremely hard to beat converting a Polaroid 110B. There's several guys who offer them commercially, but since self construction is your goal then you can just get a look at what they've done as a beginning guide.
For a P-110 conversion, the advantage is that the RF is already there, the bed is already there, and you can change the lens if you don't like the idea of reusing the Polaroid 127mm that's on it. (Need to make a new cam if you change the focal length of the lens.) Once you get very wide, however, the bed gets in the picture.
I think you're going to be disappointed with the image circle of a short, short lens unless you drop some serious cash into the lens itself. You mentioned 37-75mm. That's like REALLY, REALLY, REALLY wide on 4x5. I know you said you understand this is expensive.
As you get that short a lens, then you almost don't even need the GG or a rangefinder. Your DOF is going to be so big zone focusing is easy. Maybe eve easier. For example, the Online DOF calculator calculates the hyperfocal length of a 40mm lens at f/8 on 4x5 film as 6.69 ft. Basically everything from 3.4 feet to infinity will be in focus. Why bother with the GG for that. For that short why bother making a focus mechanism at all. I know you said you didn't want to use the hyperfocal distance, but you'll have to make some serious gear knobs to tweak those tiny distances using a GG and loupe. How fine is the pitch on this helical you want to use?
Even with 75mm at f/8 the hyper focal is 23 ft with the DOF 11.6 ft to infinity. You'd only need to focus at 12 ft or closer. Again, why not use zone focus at that DOF.
Plus a lens shorter than 75mm with coverage for 4x5 is going to be big on the rear element. And expensive. 75mm on 4x5 is about equivalent to 25mm in the 135 world, and if you shoot a lot of MF then it's about equivalent to a 40mm lens on 6x6. A 40mm on 4x5 is about equivalent to a 25mm on your RB67. That's wide.
Let me offer you a pathway. (Not like I've done this, so take it with a grain of salt. It's easy for me to sit here and tell you what to do, huh? It's not my project.)
I'd find the lens(es) you plan to use, then mock up a simple box to hold a 4x5 film holder to see how they actually work in the environment you expect to try. If the images aren't up to snuff (specifically poor image circle), then don't waste your time building a camera to fit those lenses. Try more lenses. When you find the lens that works good, then figure out what you need to build for it. If you don't need movement, then you may get away with robbing some of the old "good" folders for short lenses with "adequate" coverage. Look for an old 6x6 Agfa with the terrible synthetic bellows that is bad but one of the upscale models with the decent coated lens to steal from it. That should be an 80mm, which is close to your target of 75mm. But the coverage will be lacking.
I know you said you want the construction experience. But just in case you really want pictures instead of the experience of building it yourself, then watch the evilBay for a good Crown Graphics. I consider them pretty much point and shoot, plus all the engineering is already done. And it weighs less than an RB67. The converted P-110B weighs even less than a Crown. I've carried my P-110B in my computer bag with 3 4x5 holders plus enough of the computer junk to actually get work done. (OK, I had to leave my lunch home that day.)
But if you want the challenge and the construction education, then keep us posted on your progress!!
Michael