No you can't run 5x4.5" with a ford 44. the hub is too big for the bolt pattern.
You could swap CJ inner knuckles and use your XJ dana 30 outers but that's not any advantage in strength and doesn't get you good wheel bearings, or bigger axleshafts or anything... it's a step in the wrong direction.
Like Carl said: you can get alloy shafts for your 8.8 that will eliminate the c-clip and are dual drilled to let you run 5x4.5" and the bigger 5x5.5" bolt pattern. you'll have to have your drums or discs redrilled to fit also obviously. (this is a good idea anyway: did you see what happened to Mary on course 4 when she broke an 8.8 shaft?)
I've told many people this, but... keep in mind, the newest stock axleshaft in a d44 front, (that can be easily adapted to your rig) is over 40 years old. You'll want alloys.
Alloy shafts have come a long way lately.
Will a 44 with alloy joints and shafts handle a 37? Depends on your driving style, but the ring gear should handle it.
You can even get RCV's for your d44 and there is a Rousch Creek KOH competitor running a 39" tire with water reliably with a d44 front and RCV's
Think about this: toy axles run 37's fairly reliably with longfields and some even run a bigger motor.
(With alloys) the ford 44 has some advantages to a toy axle.
Bigger ring/ pinion
high pinion so it runs doesn't run on the coast side of the ring gear like a low pinion toy 8"
bigger wheel bearings/ hubs/ brakes (the bigger wheel bearings are a huge advantage over the stock d30 unit bearings, especially on a trail rig where they see more side loading)
stiffer housing/ larger axletubes
upgradeable: you can now even run d50 gears in your d44 with a Jantz D54 kit. (You're regearing anyways and the kit costs only slightly more than most master install kits + d50 ring/pinion isn't much more than a D44 ring/pinion)
If I was to build a d44 front to run 37's, here is the recipe I would use:
Ford 76-77 f-150
Jana D54 kit (D50 ring/pinion)
RCV 30 spline axles or 30 spline yukon 4340 inners/outers, longfield ujoints
any 30 spline locker.
30 spline drive flanges or RCV Warn Locking Hub 30 spline 300M Gear upgrade in warn premium hubs
I've spent lots of time pricing it but you are easily looking at $1000+ more build a d60 to run 37's reliably with 5x5.5" vs a d44.
(to run 37's on a d60 you'll need to gear it and run alloy outers at bare minimum).
ultimately it's up to you, but IMO there is no cheap way to run 37's reliably.