Stack Overflow now has 8 pages of bounty questions. And as an earlier question indicates bounty questions receive very little attention till they are on the front featured page.
Jeff's answer to the earlier question in 2009 was
The question on the BOTTOM (#48) has a bounty ending in 5 days. The question on the TOP (#1) has a bounty ending in 13 hours.
So, assuming this is typical, your question will have at least 5 days on the first page. Is this really a problem?
However, the above data isn't true anymore. Typically a bounty question comes the first 'featured page' may be in the last day or so. So a bounty question doesn't get any extra views till the end. I have a bounty question which has got '2' views in the 2 days it's been on the featured page till now.
What's the solution for this - I don't know but I'll throw out a few thoughts
Increase the minimum bounty on Stack Overflow to 100. This may reduce the number of bounty questions active at any time.
The first featured page should change every 2 hours.
First 2 hours - based on time to end. Next 2 hours - random selection of questions. Next 2 hours - based on time to end again. And so son.
This ensures that questions ending soon gets twice as many views as the others and at the same time, the others also don't miss out. In the comments, there is one view offered that the above 2 hour rotation will not increase the number of views but will just spread out the views - this seems logical but I think it's not right. Let's say a page of featured question contains 10 questions and the average Stack Overflow reader visits the featured page 3 times a day and visits only the first page - in the current scheme - he will be exposed to maybe 12-13 featured questions in a average day. However with the proposed scheme, he will likely be exposed to far more questions.