so with a standard handgun (no snubby etc) that doesnt have elevation adjustment, if you want to shoot accurately even at <10yd ,you have to find the bullet weight that shoots poi v poa and youre stuck with that?
Putting physics aside, and in the context of previous post, there shouldn't be a great amount of POI difference between a 147 gr and 124 gr load <10 yards. Now if the 147 is a standard velocity load and the 124 gr is something like a +P+ load, then that might produce a sizable difference, but it also depends on your standard of accuracy. Heavier loads compared to lighter loads will not only change the POI by internal and external ballistics, but also be effected by your skills handling those different loads.
This morning I was shooting two different handguns, with two different loads, one a semi-wadcutter and the other round ball at a steal plate at 25 yards. The plate was an 11.5" round gong. All rounds impacted the plate inside 1" of the edge. Most of my previous students as well as most of the shooters I have observed over the years would be tickled with those results. Me, my advanced students, most competitors would walk away as I did, thinking boy you better bear down as I was getting sloppy. It wasn't the different loads, it was me.
So first I would determine what my level of acceptable precision would be for the distance. That is how well does the gun shoot, 1" groups, 2" groups, 3" groups, etc. Then determine what my level of acceptable accuracy skills I have today. Can I shoot 2" groups at 7 yards with a 1" group gun, for example. Then try various loads that interest you and log the results.
Sights can be changed and that may ultimately be the solution for you. Or you may find through testing that several popular and available loads meet your minimum standards of precision and accuracy.
If the P2K in question is your carry gun, I would strongly suggest that you test with offensive loads (civilian types refer to them as defensive ammunition), rather than what most would refer to as range practice ammunition. It's a bit pricey, but if it's a carry gun you need to train with the same recoil and the same POI as you may have to defend yourself. Just my thoughts! If you are shooting and carrying handloads then of course you have the flexibility to fit the load to you and your gun.