They wouldn't be interchangeable.
if you (thankfully for me) go with me, it's better
it'll be enough/nice if you (thankfully for me) go with me
Here are three points:
方が introduces comparison, where Japanese adjectives cannot inflect themselves into the comparative grade.
What その (=it) refers to in the first sentence is the previous clause, or "your going with me", while such interpretation is hard to make in latter sentences, as maybe you can feel from my somewhat literal translations above. That's also partly because...
V + ばいい is actually a common idiom or construction, which represents a kind of grammatical mood, whose English rendering would vary from "comfortable with —" to "the only thing one has to do is —". There are plenty of posts on this site regarding this phrase:
Are you asking if these particles at the end are possible alternatives? If so, no neither.
～から: Literally "because", but as you may know, expresses an intention of persuasion at the end of a sentence. If need to be translated, would be like "you see?"
～じゃん: Colloquial, or even vulgar slang that exactly means what English tag questions e.g. "isn't it" mean.
～のに: At the end of a sentence, indicates a sort of nuance that usually conveyed by subjunctive in English, such as "if only —" or "(you) should've —".
In this context, none of those other final particles fit in, though 一緒に行ってくれればその方がいいじゃん？ (uptalkedly) would be barely valid, if the story were set in the present day.