These transmissions are not too difficult to rebuild. There is a good breakdown in the shop manual. However the hard parts are getting pricy. The popping out of third gear is an age old problem that has been discussed on this forum numerous times.
It usually comes down to a worn syncro drum, 2-3 shift fork, & side cover. You also want to check your u-joints as they can exacerbate the problem. The last time I checked with my supplier the syncro was about $150, and the shift forks were not available. Bearings, seals, & gaskets are available. I buy these transmissions at the swap meets for under $50 and harvest the useable parts to build overdrives. The gear box portion is the same. If you need additional guidance, send me an a PM or email.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine