Asus usually is preferred by gamers as it's better for overclocking. On the other hand, gamers don't buy an inexpensive H61 chipset based motherboard; they buy motherboards based on the P67 or the Z68 chipsets. Since you won't overclock, the Intel is a good choice.
Intel offer a better warranty while Asus support up to 16 GB of memory. If you prefer the Asus, then that's the one that you should buy. I would by the Intel because all Intel motherboards that I've used have been very good, but they didn't allow overclocking.
Also take into account the slots: Intel includes a PCI slot while Asus includes more PCI Express x1 slots.