9 Days is plenty for the "Alps", just not all of them.
You could get the book "Motorcycle journey's through the alpos and beyond", this is how I started, picking a couple of locations in the book and spending a couple of days at each of them, plus the trip in and out.
9 Days is plenty for a trip to Andermatt, from the Cotswolds we can get to Andrmatt in 2 days easily (if day one is mainly motorway) and 3 days with just day 1 mainly motorway (and your not missing a huge amount by blasting for a few hundred miles out of Calais.
Personally I would look at 3 days out & back, you could take in a bit of the Morvan / Vosges / Black Forest / Ardennes / Eifel on your travels and have 3 full days in Andermatt, plent of good rise outs from there, and your not moving on every day for 9 days - which for 1st tour may be a bonus.
A route from Andermatt to the Black Forest can be found here:
https://www.myrouteapp.com/profile/routes/485#981740/datetime/desc
And 5 ride outs from Andermatt here:
https://www.myrouteapp.com/profile/routes/485#981738/name/asc
I have logged most of my trips keeping average speeds etc. but this is very personal, with the Mrs on her bike we find allowing 15 mins of stop time for each hour of riding works well, and add an extra 30 mins for lunch, so 6 hours riding = 2 hours stops, and that is about as much as we do with the exception of maybe 1st and last day of mile crushing the boring bits.
French motorways are fast, we average 65-70 mph (ignoring stops) if weather good, a good reason not to try and max miles for a day is if its bad you may need an extra hous, so planning a 12 hour days and then finding its turning into a 15 hour day in the rain is not fun.
Mixed road riding varies a bit more, I actually use My Route App a lot, with the pro version I can get google / garmin / Tom Tom time estimates, generally I can beat any of those times, but if you take the worst one of the three as your worst case you cannot go far wrong, and google is not too bad as an estimate.
Mountains (proper big ones) are slow, I ride in Wales a lot as its fairly close and always average over 40mph on a days riding about even when taking in some single track here and there, in the alps its about 30mph, some rides may have sections of flat straight valleys and boost it a bit, but others your doing well to make 30mph in good conditions....
...And yo may stop more, every corner reveals a new "must take a picture" view, (almost) every pass has a nice looking place to grab a drink / lunch / snack etc.
If you just ride you can do the 15 mins per hour calc, but we plan for 4-5 hour rides a lot on the Alps, if we are going from one location to another we might do a lot more and not stop much, mainly because we are riding passes we have done 2,3,4,5 times before, and because its a neccessity, but if looping out of a base we like to have time to enjoy the day without rushing.
Another option would be to ride Route Des Grand Alps, this would be 3 days to the bottom to start, 3 days to ride up the route, and 3 days back, do-able, and if you can only ever get 9 days then worth it, but I would advise taking longer, there is so much around the southern end you could do with about 3 days riding out of Barcelonnette to take in Gorge du Verdon and Sampeyre as well as the other passes running parralel to RDGA at that spot, and an extra day around Bourg St Maurice to do the 7 loop pass around Mont Blanc.
The routes are in those MRA folders I linked, you could possibly do the "middle bit" of RDGA and get home in a 2 day motorway madness blast, saving a couple of extra days - and giving you couple of 2-night stops so your not always rushing in and out of Hotels - but TBH for 1st tour I would still go with the Andermatt idea, or possible just getting to the northern end of RDGA and exploring from Bourg St Maurice.
IMHO you really need more time for Grossglochner as it is out at the furthers point, last time we went we took 5 days to get there stopping at Andermatt, Bormio (Stelvio) and had a couple of days in the Dolomites along the way, we can do it in 2 long days of all motorway, with square tyres on arrival, but there is no fun in that, and I really think many other parts of the Alps are better anyway (and closer)
Closer to home you could do a great tour taking in the Morvan, Vosges, Black Forest, Luxembourg & Ardennes in 9 days, and as a first trip maybe that would work better, shorter out / back, smaller areas, easier mountains (hills really).
Day 1 - Motorway Blast into France
Day 2 - Ride through Morvan and head towards / into Vosges
Day 3 - Arrive in Black Forest for 3 night stop
Day 4 - Loop around Black Forest
Day 5 - More Black Forest
Day 6 - Ride up to Luxembourg
Day 7 - Loop Around Luxembourg
Day 8 - Start heading home
Day 9 - Home
Or even easier forget Morvan / Vosges and from Calais head into Ardennes and onto Black Frest from there saving a day and have extra day in Luxembourg (Vianden is my pick)
Have a think