Answer

It's not easy to win funding in the general funding "ice age" climate and there is a dearth of ICT funding. I would therefore advise you to find funders who will fund the alleviation of homelessness and present the ICT part as building the capacity of the network.

Here are some suggestions and an attached funding search carried out via Grantfinder which lists all the contact details for the funders below:

Advice Plus 

Grant aid to voluntary and community sector organisations throughout England to provide improved support to people in accessing the advice services and benefits they may be entitled to. This includes housing, education and health services, and welfare benefits. The programme has a budget of £20 million, which will be channelled into creating expert, consistent and sustainable advice services that support a diverse range of people.
 
Bernard Sunley Charitable Foundation  At any time 

Projects for a wide variety of charitable purposes including: education; arts; heritage; youth; community; conservation; housing; health; medical research.
 
Bradford & Bingley - Community Programme  At any time 

Bradford & Bingley Community Programme supports projects in West Yorkshire to prevent and alleviate the causes of homelessness, and promote financial literacy. Wider community projects, such as grass roots and community sports projects are supported within the UK.
 
Church Urban Fund  At any time 

Grants are available to support faith-based community regeneration projects that tackle issues of disadvantage, poverty and marginalisation in England's inner cities, outer estates and deprived non-urban areas.
 
Hilden Charitable Fund  At any time 

Funding is available to charities in the UK and non-governmental organisations in the developing world. In the UK, the Fund supports projects concerned with: homelessness; minorities; and penal reform. In the developing world, the Fund supports projects concerned with: community development; education; and health.
 
John Ellerman Foundation  At any time 

The Foundation distributes around £4 million a year to projects falling in one of the priority areas of: health and disability, social welfare, the arts, conservation and overseas.
 
Mackintosh Foundation  At any time 

The majority of funding is given to projects in support of theatre and the performing arts. Other areas of support include the homeless, children and education, medical, community, the environment and overseas.
 
PF Charitable Trust  At any time 

Grants to a wide range of charities in the United Kingdom with priority given to medical support and research. Charities concerned with homelessness, children, poverty, the aged and conservation are also considered.
 
Sainsbury Family Charitable Trusts  At any time 

Collectively, the Trusts support a wide range of interests, both in the UK and overseas, from: arts; disadvantaged children; homelessness; parenting and child welfare; social housing; social welfare; health welfare; medical research; urban regeneration/environment; environmental projects; education; Christian causes; to developing countries.