Yup, looks like an 8.5" 10 bolt. If the cover was almost perfectly round, that's what it is.
That is such a strange discovery since it is a 3/4.
The good news is that (since you mentioned your custom driveshaft anyway) the sky is the limit. The 8.5" will handle a fair amount of power, or a fair amount of trailer, but not both at the same time. Lots of guys put 500+ hp through them on sticky tires and they hold up, but the long, torquey dragging of a heavy trailer can't take tons of oomph at the same time. They are also slightly limited in how much axle weight they can carry. Adequate, but nothing to write home about.
There are plenty of truck 12-bolts out there with the 5-lug pattern, and they're cheap, but there is a reason. The pinion shaft on the truck 12-bolt uses the same as the 10-bolt, so they're not quite as beefy as a car 12-bolt. Still, it would solve the problem of the 8.5"... you would be able to give it plenty of twist, and plenty of trailer, and the bigger axle bearings would carry more weight.
Once you get to the 14-bolt, they are all 6 and 8 lug to the best of my knowledge. The brakes and axle tubes are very different so I can't imagine any parts-bin swaps to get back to 5-bolt.
If you're willing to go 6 or 8 lug, start shopping. If you find one of the 14bFF with the gov-lock differential, use the gov-lock's reputation as being terrible to negotiate the price down and then walk away the world's biggest winner. Gov-locks got a bad name because folks would stuff a truck 12-bolt under their 454-powered drag car, then wonder why they blew up when one slick got a little more traction than the other. For street, towing, and truck stuff, a gov-lock is a really sweet piece. I have pulled apart 14-bolt gov-locks with over 400k miles and the clutches look like new. Gov locks (in case you didn't know) work like an open diff until one wheel spins X amount faster than the other, then a little counterweight and clockspring engages the clutches. On 99% of the vehicles out there, that is a wonderful and reliable thing. In a 750-hp with slicks, they try to launch (a time when it's open), they mash the pedal and one tire breaks traction and spins to the moon before it gets to lock. Then it locks and big explosions happen. Instant bad reputation for something that was just a poor choice for the application.