I can sympathise with your sense of frustration at the "dead slow and stop" service offered by the DFA in the Philippines ... having experienced it myself!

I may be wrong, but it seems to me that you're faced with two choices here: Either you turn up in person at their nearest office - explaining that you need to renew your passport as a matter of urgency, since you are about to apply for an Overseas Settlement Visa in order to be with your husband asap - OR you could simply go ahead and submit your application to the British Embassy in Manila ... with a covering letter outlining the circumstances. After all, your existing passport STILL HAS 6 months of validity left before it expires. BUT- should you choose to go for the second option - I'd certainly suggest you do so straightaway.