The 6700 processor came out Q3-'15, while 7700 is new this year (7th gen vs. 6th gen 6700).
The Aspire has the newer processor plus an SSD boot drive which is very helpful to overall performance, so it has those two positives, but GPU is a step lower. However, the GPU only accelerates certain things in Premiere - overall, I believe the faster processor is going to be more beneficial than a faster GPU.
I would go with the Acer based on specs you shared. Newer processor, SSD, and a $100 less.