You're attempting to have your rifle to shoot better not improving your action ... truing the action is the only way to "improve the action"
I do relies this but to my understanding to have the action true and blue printed I'd have to replace the barrel trying to save a little money on this one . I was wondering if anything could be done without replacing the barrel at this
time
Yes, replacing the barrel is best when you are going to have the action trued.
There are various levels of accurizing a rifle, the best is the one that includes truing the action ... maybe this will help >>>
Score High Gunsmithing (replace barrel instead on Level 2)
IIWY, shoot it first and go from there.