I dont see why not. But what i found was it is alot better to watch your tires as you enter the mud and seeing which one starts spinning then gently grab the brake for that side and let off. 99.9% of the time the front will stay locked and all fours pulling through out the rest of the whole. ANd if it doesnt grab the brake on the side that is spinning and let off ,all fours will continue to pull.

Good luck on trying to find a valve let me know if you do. Also I dont know how effective you would be in the mud with that. The reason being,When you enter the hole and you go till you cant go anymore,and then stop and switch to the side that isnt pulling ,you basically have one wheel trying to pull a 650 lb bike out of the mud.

You need to be able to put pressure and the tire that is spinning and not helping,so it will allow the other to start pulling, But YOU DO NOT NEED TO KEEP ONE WHEEL LOCKED UP WITH THE BRAKE THE WHOLE TIME THROUGH THE HOLE. YOU HAVE TO ALLW YOU FRONT END TO WORK . Youre new braking system is just there to help it get the traction it needs on the tire that has the traction