There are settings where you can do psych-type research with a master's (e.g. behavioral neuroscience working in pharma, IO, certain "industry" research giants like RTI, RAND, etc.). This is generally not going to be what people typically think of when they think of psych research (e.g. animal lab work for big pharma, "program evaluation" of state public health campaigns). There is also the CRC route. In all cases though, the experience as someone with a master's is almost universally going to be very different from someone with a doctorate. There are always exceptions, but you will almost never be running the show, setting the agenda, etc. and will be more a mid-level manager type. Far less (often zero) control over what you research.
There is virtually no point in an online doctorate or master's. It is as likely to close doors as it is to open them.