There are other strength programs or powerlifting programs you can try, but what I have found to be true regarding bench is it’s only going to go up if you get better technique, gain muscle, and/or gain bodyweight (which increases stability, leverage, and muscle almost by default).
So every program can be used to increase your bench if it satisfies one or more of those conditions. What will be harder is if you lose bodyweight.
Increasing bench frequency can help by giving you more practice. And more frequency can stimulate more muscle, as could increasing total weekly pressing volume (irrespective of frequency). But you also need to recover from that so the ability to increase these is finite - more is not always better. It’s not going to do you any good pressing 3 times a week and getting tendinitis, or press so much volume you strain your pec. Bench once or twice per week, and be pressing twice per week somehow.
You basically just need to keep training hard, consistently, for a really long time on any mindful strength program and you will slowly get stronger. Avoid injury and show up to bench every week for 10 years. I have only benched 369.3 in a competition, but I could not press the empty bar when I started 10 years ago. So I have put 330+ lbs on my bench in that time. I also got heavier and more muscular. And upper body takes longer to develop than lower body. The best benchers are jacked and have been benching for years.