Hanging 100lbs punching bag

Hello... looking to hang a 100lbs heavy bag in my basement (with regular wood-stud walls). I've researched various options and have gone down all sorts of engineering rabbit holes, including pull-out strengths of various sized lag bolts, horizontal load maximums of different kinds of wood, etc. I've perused various marketplaces for various types of mounting solutions and such. The problem with standard DIY wall mounting is that it doesn't come off the wall far enough.

I'm wondering though -- and it seems simple enough of a solution -- why the following wouldn't work:

An 8-foot span of 2x6, turned "vertically" so that the top and bottom faces are the 2" edge, affixed 45 degrees to the studs. ASCII art not-withstanding, it's just an isosceles triangle, where the 8-foot hypotenuse is the lumber, and the "height" of the triangle is 4-feet. It would seem 2 brackets (the kind used in making decks) on each end, screwed into the studs would be suitably strong.

The "Sagulator" (google it!) seems to think that such a setup would only experience a total 0.01in sag in the center of the span.

The heavy bag would just hang from this with a strap that loops over the beam.

An 8-foot span basically means I have a lot of clearance on either side.

I suppose I could just go right into the ceiling joists, but with my proposed setup I can slide the bag to one end or the other and create a bit more of a dynamic setup (albeit it looks a bit more unsightly).

Thoughts or suggestions? Or am I crazy?