I am running SmarterMail Enterprise 7.6 as well and have also been getting the "Aw Snap!" crashes. The started about 2 weeks ago with Chrome 37.0.2062.103 m and subsequently 37.0.2062.120 m. A Flash update also occurred recently and that may also be involved in some way. There are more than a few reports out there that seem to implicate Flash as an issue, but I'm now thinking it really is more related to Chrome itself. As you may be aware, Flash is utilized as part of the HTML5 file uploader in SM Ent. 7.6 when you are composing a message ("Attach Files").
I threw about 4 hours of IT time at it today and ran through many permutations and did some Flash unloading and reloading, applied a series of recent (just today) Windows 7 updates. I unchecked Use Hardware Acceleration in Chrome. I also loaded the EMET tool (Microsoft's Enhanced Mitigation Experience Toolkit) and applied it to Chrome. I still got the "Aww Snap" messages in all cases. Incidently, when EMET was applied the "Attach Files" button turned into an error and became non-functional.
My current solution (and the only one that prevented the error) is to install Google Chrome Beta (38). Please note, if you do install it, it may appear to be installed, but you need to go over to "About Chrome" and finish up the installation where it says "almost finished". Then you should be good to go.
This may or may not be a viable solution for you, depending on the number of users you support and your willingness to utilize Chrome Beta. It is a stop-gap measure. For me 4 hours of IT is nothing compared to the upgrade cost (well over $1000 in true costs). I'd like to upgrade SM, but it's just not in the budget at the moment.
I hope it helps,