I will be quick to admit I have only had experiences with small rentals (6 units and smaller) so if you are looking for help on larger apartment complexes I would not be a great resource.

At an old saloon on a street of mud, there at a table, dealing stud, sat the dirty, mangy dog...

Landlord-tenant regulations are a bit complex in California and getting hands on is the best way to learn before expanding into larger investments. 

Some of the larger companies will take them, but they often charge a fee.

I've had them long enough to keep pushing up rents so that I am at the top of my niche, but know not to exceed it because I'm just about at the point where if I raised rents another $50-$100 I'd be crossing over into the lower end for larger units.

Would it be buying more of the same type of properties or expanding into larger properties?

Quote from @Roger D Jones: SamEveryone here is providing great points to consider and if you were my son I would say that at 360k this 'dog needs to get put down'. 

Network in person, see if they have a publication where you can post your deals and what you are looking for, and if there is a larger annual conference for investors locally consider getting a vendor table to talk about your business and what you are looking for.

Your assumption about them being understaffed or prioritizing larger clients could very well be true.

For larger accounts with PMS integrations VRBO is a passthrough and we are the merchant of record.