There's really no comparison between the 60 and 44 when it comes to strength, the 60 is way beefier. If you swap from the current 10-bolt to a 44, you really are gaining very minimal, if any, strength increase.
The only reason to swap in the 44 would be to get the matching 8-lug bolt pattern or a matching gear ratio for the rear you are getting (swapping in an entire front axle is sometimes cheaper than regearing an existing axle). However, the 8-lug hub assemblies could be taken off a donor 44 and swapped onto the 6-lug 10-bolt.
Also remember that 3/4 ton trucks did not come with a front 60, only 1-tons did. The 3/4 tons had an 8-lug 44 front up until '77 or so, and then they started phasing in the 8-lug 10-bolts. In my opinion, I almost prefer getting a 10-bolt because parts seem much easier to find and are newer (were used up to '87 in pickups and to '91 in Blazers and Suburbans).