Air Canada will be checking you in so their rules apply. AC will not interline onto separate itineraries (I believe they are even reluctant to do it for *A partners) so you have a miniscule chance of them allowing it onto WY. CA and WY will not be able to do anything without your bags. Your best bet will be to check the bags to DXB and then go landside and re-check your bags. You will need to make sure that you can obtain an appropriate visa for the landside transit.