147 grain: There are a couple of things you can do for that 7400. Most of it involves the forestock. Remove the forestock and square the back end where it fits to the action - do this first. Sometimes the backend of the forestock isn't cut square and the fit puts some pressure on the barrel and throws your shots off or opens up your groups. You can also bed the backend or squared end of the forestock if there is some room left - it should keep the forestock from traveling back and forth. Next, relieve all the stock parts at the end of the forestock - this includes the metal cap, a plastic spacer, and the wood at the end of the forestock. Your goal here is to remove enough material at the end of the forestock so the barrel is not impacted by any part of the forestock. You may even be able to look dodwn the bottom of the barrel at the end of this part of the job and see the stock screw retaining lug. Also, the forestock is secured to the barrel with a screw that can be tightened too much to the lug and that will put pressure on the barrel. For this problem get yourself a couple of small lock washers or just a couple of plain small washers, attached the stock firmly but not to tight and locktite the screw to hold it firm.
If you wish to bed the forestock you can do so but bed it only as far out as the end of the chamber area. If you do that don't forget to bed the squared back end of the forestock.
These techniques for the 7400 were written up in one of the gun mags about 15 years ago and my buddy and I did exactly as they recommended to his 7400 in 06. The difference went from 4" groups to 1" groups at 100 yds with factory Reminton 180s. They grouped just as well as the best handloads I could brew up for that rifle.
As for your trigger - I would check with Wolffe Springs in Pennsylvania to see if they have trigger spring kits for the 7400, or look at the Brownells catalog and see if they have them. Good luck. HTH. Mikey.