Both are good coolers with very similar cooling ability and fans. I have compared the TY-147 with NF-A15 and find both give almost identical airflow and noise levels at same rpm, but NF-A15 is 200rpm faster so NH-U14S at full speed will be slightly cooler, but also slightly louder and you cannot buy another NF-A15 1500rpm fan .. only the NF-A15 1200rpm is available. No idea why Noctua has two fans with exactly the same model number.
G.Skill TridentX is 54mm with and 39mm without heatspreader.
TRUE Spirit 140 Power is 155 x 53.4 x 170mm
NH-U14S cooler w/o fans is
150 x 52 x 165mm
True Spirit 140 Power is just 5 x 1.4 x 5mm bigger
Both are too wide to clear your audio card in top PCIe x4 socket.
Quick scaling from your image shows approx. 72.5mm center CPU to side of first PCIe socket and 72mm for RAM socket.
Archon IB-E will fit. It is 155 x 53.6 x 165.2mm with base offset 8.5mm giving it 69mm center CPU to PCIe socket.