How much do the person want? If it's really small 5K and under, the premium might be really high and it's just better for them to put it in a bank account. It's probably not worth it for them and don't forget the 2 year of con testability that MIGHT be use if the person dies in the first 2 years..... Anyway, that's what I've always attacked the over 85 YO that wants a small policy. By doing that, you might be able to get their spouse or their children. for a referral which is always the case for me....
Transamerica will issue underwritten life insurance up to age 89 I believe. Would take about 6 or 7 years to pay up the death benefit and no graded coverage period. Not going to get any less expensive than that on a cost per thousand basis. Of course, it would be tough for someone that old to qualify in the first place.