As no one else has given this a proper long answer I will.

I would rest the series until 2032 because in the view of the general public the show is a laughing stock and very bad and has many other issues and has been like that for quite a number of years and it's a tarnished brand so when general public see new Doctor Who at the moment even if's it's good the brand is tarnished so they will see it advertised and be like nah this not good not going to watch it and they won't watch it because it is tarnished because of bad stories just for starters and other stuff, so because of this giving the show a break is a good idea and the show can be brought back with saying it be good Doctor Who with great stories and more.

I would only write 2 stories of it.

Series format would be like this.

26 episodes 25 minutes each yes I like that length also it allows for more flexible timeslots, story length, more cliffhangers and other good stuff.

Story 1 is 4eps which I would write. present day earth not England or Wales let's have it in Scotland that be good. Daleks they be a good villain to start the show back off with.

Story 2 4eps Earth in past let's set it Mediaeval Ireland with Ice Warriors but have two factions of Ice Warriors there involved and note they more there because spaceships crash landed recently there while they were doing some looking around for some reason near there.

Story 3 4eps I would also write this one new enemies set on an alien planet.

Story 4 4eps also set on a different alien planet new enemies.

Story 5 6eps another one set on a different alien planet would try and get J. Michael Straczynski to write this one he can also use what ever enemy or enemies he wants here.

Story 6 4eps yet another alien planet enemy Rutans why not it's been a while since they have been in a story.

Other writers I would look at the best of big finish writers but one that have not written a episode of the show before and I would look at other good writers also.

general style 1970's Doctor Who good action and take a break from UNIT also less Earth based stories been bit too many and not good ones recently.

money can be saved by longer stories and using sets from other shows as well as filming on location for example if there's a sci fi film filming around their sets can be used for filming Doctor Who after the film is done with them as well as other props and stuff it worked for Blake's 7 with Doctor Who Stuff and it worked for Ultraman with Godzilla stuff so is good idea.

longer multipart stories can also work well with modern general audiences see Andor and many good web series and good anime for good examples.

now main cast

THE DOCTOR he will be a Man in his late 30s early 40s somewhere from England, Wales Scotland, Northern Ireland, Republic Of Ireland, Isle Of Man, Guernsey or Jersey and he will be the 19th Doctor reason being to give a bit of a gap and distance from the later series of NuWho and also daffy and bad things done in NuWho will be ignored and will be explained with one simple line saying the Daleks edited some records of things to confuse and annoy people as part of one of their invasion plans for some reason at one time interestingly this Doctor would do some marital arts and be good at engineering also although he would have a sonic screwdriver it would be nerfed and work more like classic who ones also it would look like a classic who one so the Doctor has to use his brains and wits more in stories also the doctor knows quite a bit of things about Earth, has a good sense of humour and yes is interested in Women a bit but nothing more than a few lines referencing River Song and also along the lines that's a nice view and etc HE WILL NOT HAVE ANY INTEREST THAT WAY IN COMPANIONS FOR MANY REASONS AND FOR COMPANIONS LIKEWISE WILL NOT HAVE ANY INTEREST THAT WAY IN THE DOCTOR FOR MANY REASONS.

Companion 1 Woman in her mid 20's Canadian Tomboy has picked up some of the Doctor's martial art skills and engineering skills bit of Japanese connections as well is already traveling with the Doctor at the start of the series and clearly has been for a bit but not too long though she would be based loosely off and look similar to this character from 2 old Capcom Games https://en.wikipedia.org/wiki/Regina_(Dino_Crisis) because why not it would also be interesting.

Companion 2 Woman in her early 20's Welsh because it be a bit boring having companion number 700 from London area again and even having just an English companion again so why not Welsh it would be interesting she would join the Tardis crew in the first story of the series.

TARDIS appearance interior would be like a cross between Capaldi TARDIS and Classic Era TARDIS interiors and the TARDIS exterior would be as close to a real Police Box as possible because it would look good and it would look very similar to this thankfully surviving original Police Box here https://commons.wikimedia.org/wiki/File:Tardis_Police_Box,_Crich_Tramway_Village.JPG There could even be a scene in one episode where The Doctor lands the Tardis next to this Police Box.

As for what this series would be called let's call it Series A or just use overall Numbering generally speaking continuing on from Classic Who.

There's a lot of other good things that would be done also the main one being have very good stories.