I have been thinking about your problem. You stated that a less powerful card works great. I assume that you are using the same motherboard slot for both cards. Also, I assume that all other components (RAM, PSU, Motherboard, CPU, CPU Cooler, Case) are the same for both graphics card.
From what I know of the R9-290X, it is very power hungry and it generates a lot of heat relative to other graphics cards. Apart from that, it operates as any other graphics card.
http://www.sapphiretech.com/presentation/product/?cid=1&gid=3&sgid=1227&pid=2090&psn=&lid=1&leg=0#
System Requirements
PCI Express® based PC is required with one X16 lane graphics slot available on the motherboard.
1X75 Watt 6-pin PCI Express power connector is required.
4096MBMinimum of system memory.
Installation software requires CD-ROM drive.
DVD playback requires DVD drive.
Blu-ray™ / HD DVD playback requires Blu-ray / HD DVD drive.
750 Watt Power Supply is required.
1X150 Watt 8-pin PCI Express power connector is required.
64-bit operating system highly recommended
A display with digital input (HDMI, DisplayPort or DVI) is required
From your statements, it appears that you meet those system requirements. The power requirement is higher than your other graphics card. I have asked you to verify the power supply wattage. The heat output is higher than your other graphics card. What are your temperatures (GPU,CPU, Motherboard) when the freeze occurs? Is it too high?
Have you preformed memtest on the RAM to verify that you meet the memory requirement?
Have you installed the correct driver? Is that driver recognized in your operating system? Is the R9-290X present in your Windows Device Manager and in your BIOS? Is the the PCI Express x16 slot designated as your graphics source?