Sounds like you are in similar shape as I was when I started what I'm about to write about, save for the fact that I'm about 30 years older than you are.
I think trying to go from zero to 35 miles/day is crazy!
A few years ago at the tender age of 51 I went from zero to 28 miles/day and it was real tough. The first few months just about killed me with my quads screaming.
19 miles in the AM, from home to work. (90 minutes) 9 miles in the PM from work to about 1/2 way, wife picked me and the bike up with the car.
Some days, I drove the car.
Some days, I rode round trip 38 miles/day.
Here's how a regular week went.
Monday and Tuesday, I was okay.
Wednesday I was tired.
Thursday I was exhausted.
Friday, only grit got me through the day
Saturday & Sunday, rest.
You may ask why someone would do this. A good question. 1.5 jobs divided by one car = one bike commute.
I kept this up for 10 months, then the job went away.
Family and friends thought I was NUTS!
For sure, had butt and legs of steel.
I do not write this to discourage you, just relate my experience.
As always, your mileage may vary.
Jeff, still fat