Getting the number of required hits to increase won't do much because of the unloading. If you have a problem with LBH, don't let them in. It's that simple. However, it's hard for them to LBH club to club without enough to regen fast enough. If a club was struggling and they were almost finished but needed more help, they would have to unload more. How much regen time does that give the LBH? It's harder than you think to go merc as an LBH. They need patience to look out for some variation of the words "LBH needed" and they need to be patient for regen, worried about how many hits they have to get to get the prizes.
Taking away LBH will only render the struggling clubs helpless. Think about it.