The transmission cooler lines have the same fittings at both ends on all the 90-96 Dakotas I've worked on. The inline check valve is in a short hose section that is crimped on to one of the steel lines about 6" from the radiator.

I have discovered that if you simply remove the check valve and its hose and replace it with a transmission fluid rated hose, it tends to blow the hose off the cooler lines, even with double hose clamps. When that hose comes off the steel line, it dumps 9 quarts of ATF+ 4 out onto the ground very fast. You discover that when the transmission quits functioning about a 1/4 mile from where it came apart. I did it 2x, the 1st time with a single clamp on each end of the hose, the 2nd time with the steel line flared a bit and double clamps. Both times refilling the trans made it work OK. That replaced section of hose where the check valve was really needs to have a steel replacement section with compression fittings on both ends.