Help with residency and contact

Hi folks, would really appreciate some advice please.
My wife and I separated 2 weeks ago, she left home and took our 18 month old daughter. They now live 50 miles and 1.25 hours away from me.
The initial plan was i''d have our daughter for 2 nights every weekend but after the first run my wife claims our daughter was too upset to be without her mum for too long (being insecure over her mum when she''s with her, even though I tried and failed to get it through to her that our daughter is insecure over her dad when she''s with me) and is now minimising overnight stays through a solicitor letter as follows:

1. I have alternate weekends, Sat 10am till Sunday 7pm.
2. On the other alternate weekend I have a day visit on Sunday, 10am-7pm.
3. I can spend 3 hours with our daughter per evening on any 2 weekdays.

My solicitor letter states my request as simply:
Three nights per week, Friday evening till Monday evening (although I am happy to negotiate this down to 2 nights per week, but 1 night per week is as low as I''d go).

Basically my aim is to minimise the amount of travelling back and forth for our daughter and to have her in 1 block per week; my ex''s aim is to have full residency, get weekend time with our daughter, and allow me allow short bursts of contact to fit around that which don''t take distance into consideration and can only work if I move nearer to her

I''m willing to compromise or fight this out in court (my wife is reluctant to do either) but what are the chances a court would ever agree to my wife''s demands?

What are both parents established patterns of work and child care?

I work from home 5 days a week, approx 9am-6pm, with flexibility to start the week on Monday afternoon and end on Friday 2pm.

She does not work, has been looking after our daughter as the primary carer with me helping out in weekdays as i work from home and pretty much full time in weekends. She is planning to start part time or full time work soon. Daughter will either go into day nursery or be looked after by maternal grandmother which i''m not happy with as she has diagnosed mental health issues.