Am I entitled to ask for a payout?

Whether your name is on title to the house is entirely irrelevant. The Family Law Act of BC provides that you are entitled to one half of the equity in the house (subject to each party being entitled to first be paid back whatever pre-relationship money they can prove they put into the equity in the house and the balance of the remaining equity being equally divided).
If your current annual income is lower than your spouse’s current annual income then you are entitled to spousal support based on the application of the Spousal Support Guidelines. If you have primary or shared care of the children then you have entitlement to child support in accordance with the Child Support Guidelines. If you have debts in your name that were incurred for family purposes prior to the separation, then those debts are subject to an equal split or a reapportioned split to achieve fairness. There is no legal claim for “money for a downpayment” – what you use your support for or your presumptive 50% share of the equity in: the house, vehicles, household contents, saving accounts, RRSP, Investments and Pensions or other assets owned by each of you for is your business whether it is for a downpayment or otherwise is irrelevant.