I would buy the Timney and do it myself. For the price you can't go wrong. I have one Savage and it needs the trigger also. Horrible trigger just like yours.

Mine is an older .243, stock hits the barell under recoil strings shots vertically. Maybe I'll make it a summer project.

http://www.midwayusa.com/product/223896/timney-rifle-trigger-savage-10-through-16-110-through-116-without-accutrigger-2-to-4-lb-blue

I have not done the Savage yet, only a Remington. they are all different but shouldn't be too hard. Directions are not always the best but common sense goes a long ways. Look on youtube for a video, thats what I did and took pictures as I took the old one out for reference.

The hardes part was I had to inlet the stock for the safety that came on the new one but I don't think that applies to the Savage.

Let us know how it goes when you get it.

I'll just add that shooting 40 rounds in 2 hrs should not have been any problem. Two things I'll mention though; the barrel should not get so hot that you cannot hold it. Overheating a barrel, especially with a fast stepper like the 7 mag could cause some harm. Also, it would have been a good thing to have cleaned the barrel a couple of times during that 40 shot foray. If you did not, you likely did it no harm, but you did nothing to help your group sizes by leaving it uncleaned.

I'd also buy at least two other loads (perhaps a 140 & 160gr) and see if one (both) of them shoots a bit better in that rifle. I own lots of rifles that prefer one weight over another. In fact, theat's the norm typically. One particular M70 in .270 Win I bought used showed up with a cut-out of a target showing a simply spectacular 3 shot group. I shot at least four different loads without seeing anything even close. I chose one more, a simple 150gr factory load and shot a 3 shot group even smaller than the one that had been sent.

Moral of the story; One never knows what a particular rifle likes best, until you try a few. 

It's my understanding that those target's that come with some new rifle's are shot prior to puting it in the stock. That can make a great deal of difference.

Yea, your right, I really should have cleaned the barrel.  I didn't think of bringing my cleaning kit that day.  I did let it cool though, so I don't think I burned it up.

I will also make a point of fireing two other loads before I buy the trigger.  I have some 140 grain and 165 grain Federals I can try out.

Thanks for all the help guys: