I dunno... the hide glue I use becomes a clumpy, miserable, snot-like mess below 90 degrees. That why I use fish glue. If you guys are working with hide glue at the 55-60 degree range I need your secret! It must be WAY too thinned down or something.
Keeping rawhide from separating from wood is a skill. The way I overcome this is to soak the dry rawhide strip in the actual glue until it becomes soft and pliable. That way there is absolutely no lack of glue in the joint. I also make sure to wrap down the rawhide if the rawhide is really thick. Hide glue will "grab", and doesn't really need the wrapping, but only if it has the capacity to gel and become the snot-like mess I mentioned above. Thinned down hide glue (or thinned down knox glue) needs to be clamped or wrapped.
Hide that is fresh off the deer will shrink a LOT. I prefer to dry mine first before cutting a strip and applying it to wood. That way, you know the dimensions of the rawhide . You won't have to guess how much it will shrink.