If the issue is that you as a player really, really want to try something that you can't conceivably imagine your main doing, then get an alt. Otherwise, embed the data points of your EVE resume into your story.
My point is, just because some of the data points are called 'standings' doesn't neccessarily imply all the things we associate with good and poor standings.
Let's look at how players treat standings. In most cases, people can go from good to bad standing overnight. One heinous act by one alliance or corp member may set that entire organization from good to bad. You can't save ten lives and then claim you've saved up enough standings to commit ten murders and end up neutral, doesn't work that way. Standings mechanism do, for a large part.
Additionally, the worst thing I could do for my faction standings (and the reason why my Ammatar standing is better than my Amarr standing) is decline missions. Game mechanics seem to indicate organization/faction prefer if you work for another faction than refuse missions for their own.
As said, the standings is a reflection of a portion of your PvE skills. If you've cleared the belts of Angel rats in the Republic, apparently none of the Republic agencies would care, just Concord. The data points should be treated as such, accepting missions for a specific faction, and being.
I find it insane (and besides absolutely not fitting with my character) that I would need start shooting civilian transports to 'correct' my standing to what I think is fitting with the character. Merdaneth doesn't shoot civilian transports, and no amount of killing Republic Fleet ships is apparently moving his standings with regards to them one iota.
The data points seem to indicate that Republic Fleet doesn't care if you shoot them. If I want to piss off the Republic Fleet, then asking and refusing missions seems the way to go? Want to put that into your RP?
In short, I don't like to juggle my RP too much around the game realities of standings, I prefer to largely ignore these as brought forth by a poorly designed and named system that imposes artificial barriers on access to certain services and rewards grinding.