Just a word of caution. I think most of us who have been through back surgeries have noticed two things: surgeons and their staff tend to be overly optimistic in the time frames, and two, how many people do you know who have had only ONE back surgery?
Keep in mind that the disc is a rather fragile part of the body...as one spine specialist I consulted with said, the spine is the one area where the creator's design was not perfect....it was great while mammals were on four legs, but when we started walking on two, the plan's flaws quickly became evident.
The discs are filled with fluid, only, unlike other parts of the body, there is no mechanism for them to be refilled...so once they begin the dessication process in the 3rd decade of life, it is pretty much downhill from there. Discs do not have a source of their own blood supply so they are not replenished as happens with other parts of the body. When we engage in activities that are jarring to the spine, or things that cause impact, we may not know exactly how hard it is in the discs, BUT we do not it is not beneficial to the discs!
Obviously no one plans to stay in bed 24/7 just to protect their discs...so we all make decisions weighing the risks versus the pleasure we get from the activity.
It just seems to me that if we go through all the trouble and expense of having the surgery, we should do what we can to maximize the chances for it being successful...and not just for the short-term.
Almost every surgeon tells his/her patient, it's OK to do x,y, or z, as long as it doesn't cause any pain. The problem with this advice, is that you do not know the activity is causing pain until AFTER you've done the activity...at which point, in some cases, you've already done the damage...as when a disc reherniates!
I sound like I'm lecturing and I don't mean to. You can make any plans you want, including doing things sooner than what the surgeon says...it is up to you. I just want to be sure you understand the issues involved and are not swayed by what the doctor says. I'm not saying ignore what your doc says. I'm just saying that from years of being on boards, it is my observation that many surgeons have little invested in how soon a patient may be returning for further surgeries! -- how many give the "if it hurts, don't do it" rule for how soon a patient can return to any given activity. They say this so that they aren't pinned down and the words don't come back to bite them if something goes awry. This does sound a bit cynical...but I just want you to think things through for yourself...and make the risk assessment for yourself.
I know of the running "style" you are describing. If you're familiar with Newton shoes, a friend of mine certifies running coaches for them and is very "involved" in the natural running movement, if I may call it that!
I think your plan sounds sensible. Just be sure to add mileage slowly. Sometimes people think from going from one mile to two isn't that big a deal!!
(I made that mistake with walking after my three-level fusion!!
I'm sure you'll do well and will be back to the sports you love soon.