ShopTalk: reaming bc wedges

[DADUGALLY]

Hi All,
I have a lot of beryllium copper wedges that need to be reamed to . 370 and am having difficulty because of the heat the reamer wants to stick in the head, I have tried using a cutting oil but it doesn't really seem to help and its so thick that it is hard to clean out with acetone afterwards, I would prefer to not use oil at all to save the cleaning step.
I tried my . 370 drill bits but found that they were actually . 364 and the shafts are . 368.
I also have a lot of steel wedges, but they don't seem to be a problem, I think the beryllium is somehow wanting to meld with the reamer as it heats up.
Any suggestions would be appreciated.
Thanks,
David