At floor tiller your bow should be way over draw weight. Actually the thinner the wood the less chance if it cracking. Less stress on tension and compression side. If you are heat bending a tight radius there is a chance of the belly cracking across the grain. Again, the thinner the better. Also if you take the belly down to one solid ring just like the back there is less chance of splintering.
I really think you are over thinking the whole process and you are trying to walk before you crawl. The bow design you have choses isn't an easy design to master. Maybe you should start with a simple bow design, learn proper tillering and how wood works then when you have that figured out go for whatever design you fancy.
Actually, I "did" work on an osage piece I had here a while back (last month I had a small stave, long story,..don't ask).
I simply didn't share it right away due to a little bit of insecurity till I got a decent ways into it before deciding to share (which I didn't at the time)
I found that learning to tiller properly wasn't very hard, (as I was hoping) however, working much to late one evening I made a blunder and had made a gouge with a rasp (don't ask me how I managed it!!??),
didn't catch it, and when I drew it back the one end snapped. When I looked at the area I pulled a Homer Simpson (with a slap to the forehead)
So, after having read, read, and read some more on tillering, I pretty much took my time, went slow (except for that one late night) and got a nice tiller going (before that late night "oops"!) I still had more tillering work
to do as can be seen in the photo below, but it had been coming along nicely.
I had tried with it to bend the tips, (see makeshift jig I put together) but did not actually intend to pull the tips to bend them to that actual radius, but rather used the round pvc ends to only give me a good round, solid surface to work with.
I got small cracks AND the thing is, I had already taken the bow's limbs down quite a ways,... TO MUCH as I didn't have enough wood left to work out those tiny hairlines that appeared.
Hence all my cautiousness and most likely an over-abundance of questions and as you mentioned, quite possibly a bit of "over-thinking" bending the ends.
I'd rather over think it at this stage, find I was indeed over thinking it, and learn by having my concerns turn into nothing to worry about, than not as, not over think it, and find myself with an issue of any sort.
Here's what I had a while back (before the death of it last month)
(Yes, it is the kitchen,... I had better luck with taking photos there instead of my work area, just better lighting,.. I'm not actually working in my kitchen though! hahaha!)
Here is the make shift jig (just something I threw together on short notice) and the cracks I saw: