yes feasible with a daily. My 02 gs which was my daily for years I bought in 06 with 96k on it , started modding it immediately , the first 3 years I owned it I worked in Massachusetts and commuted from Maine through NH 6 days a week except when required to run company trucks for work - around 1100 miles a week , I would stop in at the track mid way home rip off some mid 13's and get 30-31 mpg on the drive home , currently 220,000 miles with no modding related failures , just keep it in this range and you will be fine , shoot for 12's on sub 1.9 60 foots and trannys are the weak link.
I also had a couple gtp's over the years one 2 door went 13.3 on headers , 3.4 pulley , 1.9 rockers ,intake , tune plus all the little stuff like colder copper core plugs , colder thermostat , good fuel filter plug wires etc... another 4 door gtp ran the same et but also had a built trans with 329 gears then I sprayed it to 12.2 @118.
start with exhaust headers preffered , then intake , then before you drop pulleys be equipped to scan/tune/wideband to do it safely. If 13's is quick enough for her then that to me is themost proven simplest way to get there , if you want to go quicker the smartest thing you could do is commit to swapping from sc to turbo but I am imagining your GN scratches that itch and the GS can just be the quicker than expected sleeper for daily use - I also have multiple LS1 f bodys for when I want to go fast in a rwd.