Probably been asked a million times but if I book a flight and Hilton hotel package with BAH, will I accrue any Hhonors points? I'm only a blue right now so less interested in other status benefits!

If not Hilton, are there any other major chains that are more amenable to BAH package bookings? I've got handfuls of hotel points in various programs, none of which are doing a lot for me right now. But in the past I have done ok out of Hilton for redemptions so that's my first port of call...