Been on the road and just saw this thread and here's my 2 cents.
Being that you have a 3.8L motor, 5.38's is the ratio that would give you what you are looking for regardless of what setup you end up going with BUT, the pinion in a Dana 44 will be really small and will be a weak point. With a set of 37's and on a front axle, you may be able to make it work out for you and without issue depending on how hard and how often you push it. If it were me, I would stick with 5.13's in a Dana 44 but that's based on my personal experience.
Regarding rear axles, being that you will not be doing a motor swap, a full float ProRock 60 might still be worth considering. There is definitely something to be said about a high pinion setup as it will help keep your drive shaft sitting at a more shallow angle and help keep your pinion yoke out of harms way. Of course, you would be riding on the weak side of the ring gear but you might be able to make it last longer with a 3.8L. This is not to say that you couldn't break it as I have seen several blow even with a 3.8L motor and guys like Trail Bud and KenB1010 come to mind on this. If you play as hard as them, a ProRock 80 would be what I would recommend. I should note that Dynatrac didn't necessary come out with the ProRock 80 for guys doing motor swaps but rather, because they were seeing that guys were breaking their 60's just fine without a V8.