If you're sure that the pain is on the bones down at the base of your pelvis and not the soft area between and slightly forward then there's a few things that'll help.

First of all is since you mention it's more of a deep ache the answer is just to ride more. My own muscles around those sit bone points ached at first too and still do a little after longer rides. With time and riding they'll toughen up and become more dense in that area as your muscles both tone up and develop more muscle around those points.

Second is to not use the saddle as a place to relax. A properly sized saddle is not a nice place to rest at the best of times. If it was wide enough and soft enough to rest on then you'd find that it was in the way and too clumsy for effective riding. Try to share the weight between all three contact points, the bars, the saddle and the pedals. When "resting" while coasting along I tend to support a lot of my weight on the pedal that is down and only a little on the saddle. That'll let the blood flow around those hard contact points and ease the final post ride ache during this transition and later on longer rides.

Jeans are horrible things to ride in for more than a short errand run. The material grabs and pulls at your legs during the pedaling. This has nothing at all to do with sit bone pain but I thought I'd just jump onto the bandwagon for suggesting proper riding pants or at least switch to shorts.

Finally there are some preferences about saddles and fit. That Specialized chart is excellent for at least showing how the width relates to the person and riding style. It sure fits in with my own progress from casual upright rider on a wider and softer saddle to my current tastes where I like a mid-narrow and very firm but not stick like saddle and tend to lean forward at around a 30 to 40 degree back angle.

The saddle you linked to is certainly a serious rider style of saddle. Depending on how wide your pelvis is and your riding style as it develops you may or may not "grow into" this saddle. The lines of the saddle look pretty good from the picture but it can be hard to say. Oddly I find I prefer quite a rounded top saddle rather than one that is flat. On the flatter saddles I've found that the turn over the side feels too "sharp" on my inner thighs while a rounder shape just works far better at not putting this point load pressure on these muscles during riding. My favourite saddle of all time is the basic and terrible looking Ritchey Vector. It's not easy to find these any more so I'm glad I've managed to squirrel away 4 of them in total.