well rather than an all or nothing approach I'd say blow gently but not like an air compressor.
I occasionally get (depending where I'm living) dry nasal passages and I would occasionally see coagulated blood in my tissues in the morning or during the day.
It seems to me as I age become more sensitive to particles in the air (like when using the ride on lawn mower which ejects to the side making operation dusty). Combined with a recently (what I think is a post COVID effect of) acquired annoying post nasal drip I've turned to irrigation of my nasal passages daily. I make my own saline up (and always boil the water), making a litre at a time and typically use 100ml per irrigation. I do it with a large (no, really, large) diameter syringe to force water in at higher pressures (basic hydraulics at work there) to get in behind the septa in each side.
I use the kitchen scales (I have a digital set that's designed to measure no more than 500g, which is thus more accurate at 5g) to make my mix and use a slightly lower than normal 9g per L of water and add about 2g of baking soda. I recommend you use cooking salt (not table salt) because it does not (or shouldn't) have the anti-caking agent in it.
If your water is highly mineral, then run the water through a filter jug before boiling (something I do to extend the life of my espresso machine, which is now (about) in its 20th year of service).
The baking soda is a good addition for a number or reasons.
It takes practice to find the method but I sniffle a little back, as I've filled the cavity of my sinus (you'll feel it in the eyes), to ensure that I get behind too.
This has been very successful for me.
Best Wishes