I just got an offer on my listing at 545 Chestnut #314 listed at $98,300. There are others in that building which are very nice. Currently there are no two bedrooms available as one recently sold for $150K. I know most of the buildings in the downtown area, perhaps I can suggest one to you once you provide more details as to what you are looking for and what you didn't like about the ones your agent showed you. As other agents have said there are lots of properties in the downtown area in most of the buildings so you should be able to find something.
Barbara Robbins-Olexa, Broker
L B Brokerage
Servicing Long Beach and neighboring Communities for 30+ years