Three things. First, I don't think there should be a dependency on people donating to cover transaction fees, that's an unsustainable kludge. Even if you had enough people willing to do it, you can't depend on it, and it's a hack that addresses the symptoms but not the problem. You could reserve a percentage of the LTBCOIN distribution as a fee to cover costs. This remainder could then be sold to pay back the transaction fees. If no other solution presents itself, I don't think most people would object to this. It's like a delivery charge, we are sending you something, but we have to cover our delivery costs.
Second, if quick distribution is not required, perhaps Counterparty could implement a change so that token distribution is done for zero or very low fees with the understanding that it might take several hours (or longer) for the distribution to be completed. Zero-fee Bitcoin transactions do go through, they just take longer. This wouldn't be used for trades or general use in Counterparty, just, optionally, in the case of asset distribution, for those that want or need this.
Third, maybe Counterparty could implement logic to bundle token distribution events into a single, larger, Bitcoin transaction. Miners don't like large transactions, but with a higher fee they will happily process them. Even with a higher fee for a single transaction, this would likely be much lower than the aggregate of hundreds (or thousands!) of individual transactions. Just not sure of the technical feasibility.
I think the main problem is just that LTBCOIN has become one of the biggest users of Counterparty, and that's where the rubber hits the road and practical issues come up. I expect them to solve this, either through one of the two options I mentioned or something else I never considered. Worse case scenario, I would totally support LTB using a "delivery charge", I think that would be fair and reasonable, and it is a solution you could implement on your own, without requiring infrastructure changes you cannot control.