A lot of the heavier guns were hand made specific for individual campaigns - it was easier than dragging them across the entire empire. Like most nations at the time they were not put in batteries of the same calibre or shot weight until later in the 1700s, so having every model gun looking different would not be out of place. But, that's not what you want to hear

Here is a 1730s gun OOB for the Ottoman fort of Izvornik in Bosnia, a Vauban style fort with 9 towers which had:
16x large brass guns, 4 horse-drawn field guns, 2 small mortars, 2 cannon
the walls had: 4 large mortars, 12 medium mortars, 200 small mortars, 50 hand mortars, 1800 bronze Tower Guns, 660 tower muskets, 113 smaller guns
taken from Michael Robert Hickok - Ottoman Military Administration in Eighteenth-Century Bosnia.
Unfortunately it doesn't define large, medium and small. I'm guessing the Tower Guns are like the 1pdr Zarbzens. Although from a little later than the period you are covering, I think it is possible to get an idea of the variety and ratio of gun types.
I do have a print of assorted hand artillery, one looks like a Sa-7 launcher and another like a 40mm M79 grenade launcher, but I can't get it to upload.
Back to your field guns, it is not clear how standardised Ottoman artillery was at this period. If it were me, I would make two guns, one very large like the prints you've shown, and one very small, on the scale of an amusette.