Does either receiver have an RF remote option? If they do and your remote supports it, use that instead. We use the Dish Hopper/Joey system and the remotes are RF.
The "blaster" as you refer to is not really that at all. There are discreet IR leads that stick to the front of each device you want to control. The only one that I have stuck to anything is the Panasonic home theater box, everything else is RF and no problems. Each TV is controlled by the remote pointing at it but since they are all the same make, you can get some weird reflections at times and control the wrong TV.
Put the satellite boxes on RF, remove the IR leads from the same, and enjoy your system.
Roger & Mary
2017 Winnebago Navion 24V (Sold)
2014 Tiffin Phaeton 36GH (Sold)