I have a Recoton IR100 "Remote control extender". It consists of 2 pieces:
1.) An IR receiver that receives an IR signal and turns it into an RF signal. This is placed in front of you where you want to point the remote at.
2.) A RF receiver is placed in front of the HT equipment in a position where it has line-of-sight of all HT IR sensors. The RF receiver gets the RF signal and translates back into an IR signal which it then transmits to the HT equipment.
I used to use it for playing computer games on my TV. My computer is in another room but connected to my TV with a 50ft. coax cable. I have an IR wireless keyboard. I placed the RF receiver/IR transmitter in front of the wireless keyboard's IR sensor which is connected to the computer. I placed the RF transmitter/IR receiver next to my TV in the other room. When I press a key on the keyboard it sends the IR to the IR receiver. The IR receiver then sends a RF signal to the RF receiver which then sends the correct IR signal to the IR receiver connected to the computer. It worked flawlessly even with quick consecutive key presses. I'm sure it would work for you as well, as long as it can receive and transmit multiple signals spaced at .1 sec intervals.
I think I bought this at Best Buy for about $40. here's a link to this product:
[Link: recoton.com]