Toms Hardware did a Power Consumption chart for that Ryzen 7-1800X processor, so if you aren't getting something closer to 60 watts there has to be a reason (high load, lots of disks etc) :
AMD Ryzen 7 1800X CPU Review
My guess is swapping in the R7-360 graphics probably didn't have a big reduction because that card itself is a power hog (quoted from:
AMD Radeon R7 360 Review | Trusted Reviews ) , but since you need a graphics card for that processor if you don't need actual GPU performance lift for graphics you might try to find something lower power. So far the lowest power consumption card I can find online is 30W GT1030 (GDDR5 version), note that this card is WORSE performer than AMD 2200G APU graphics and almost certainly worse than Intel iGPU but if you just need basic Windows desktop might still be OK. As far as I can tell there is no PCIE Intel igpu equivalent where you can get basic graphics and a tiny power bump for AMD processors.
Nothing has changed here. The R7 360’s peak temperature of 69 degrees is a little higher than both Nvidia cards. The AMD card’s idle and peak power consumption figures of 83W and 171W are higher, too: the GTX 750 hit 77W and 123W in those tests, and the GTX 750 Ti topped out at 74W and 169W.
If you can handle the power consumption near-term, possibly the AMD Ryzen 4000 series APU will be a good option for you in the 8c/16t version with built in graphics and may even fit into your existing board with a BIOS update if it supports APU's (too early to be sure).