Your main issue is income.
You can't continue to work in the UK online, without a French registered arm of your organisation and the associated taxes, you won't be able to do that job. If you want to work for yourself you'll have to prove that the work is needed and that it brings in £22k per year ish. The exact figures will change but it is French NWM at full time.
You could emigrate as inactive, and use your savings to cover your proof of funds [around 12k per year], and after 5 years you will be allowed to work doing what you want. It is either the full NMW for the working visa, or nothing for those first 5 years on a Visitor's visa.
Or you could get a job here, but the issue here is that they would have to prove they have advertised for and not found a French person to do the job. I believe other European countries do have a Nomad type visa which would allow you to work in your current job so maybe investigate that. I believe there are agencies that have closed in London that used to provide this as it is now so hard to do.
Property prices are better, but it is reflective in my opinion of the area that you live in - and many houses need some quite significant work which is not cheap. We have rented our UK house for a long term rental in case we decide to come back. Our house was bought outright from savings and investments cashed in, and we got a house for half the price but twice the area and 10x the land as the UK. We are quite rural though, an hour from the nearest city.
You will need a year's full medical insurance to get the visa, not cheap. Ours was £2k each. A new car, the cost of cars is probably half to a third higher than the UK. Food is more expensive but you have more ability and prospect of growing supplementary food here.
Advantages of course are [here in the South of France] 2 additional hours of sunlight through the winter. There is no gas here so if you don't want oil you have to find other ways of heating, we have a wood burner and 2 plug in oil filled radiators. Different if you are in a large town or city of course. The heat of this summer meant alot of struggle to keep the garden watered, but you get into the groove. Although we do get rain, and Bordeaux is known as a wet city - the rain is nothing as miserable as in the Midlands of the UK. The warmth in the spring as it gets going is just heavenly.
There is no traffic so if you need 45 mins to get somewhere you don't need to add another 30 mins like you would in the UK, you just need the 45 mins. The cheapest wine you can get tastes better than expensive wine in the UK.
There are loads of UK Facebook groups, and local groups where you can exchange language skills, and mix with the locals. There is a boulangerie in most small [not tiny] villages.
So it all depends on what it is you are looking for. We came here because we both took early retirement [me at 53] and wanted to do something other than waste away in the UK - so we got a house with a decent sized garden to grow food and flowers and to just chill out. We go to local events, we have friends here and we've only been here 13 months. After our 5 years are up, we will be doing some sort of business activity here but we are taking the time out to just enjoy ourselves for a bit.