I live in Thornton-Ceveleys, just north of Blackpool (between Blackpool and Fleetwood) I was born and grew up in Blackpool but avoid it like the plague now
I take Flo on Fleetwood Beach regularly no problems, also as suggested part of Cleveleys beach. (Rossall end) is ok.
(You can walk all the way from Rossall to Fleetwood)
We also have a nice country park at Stanah ( Wyre Country Park) near to me which runs along the River Wyre, plenty of walks there.
Have a look at tourist info here which is based at ountry Park
http://www.wyrebc.gov.uk/Page.aspx?PvnID=60286&PgeID=1187&BrdCb=1-24-1157-1182-1183 Also Garstang is a lovely little market town/village with lovely walks by the river too.
Where is the HTM held in Blackpool ? Is it open to the public ? Good luck with it
If I can be of any help just let me know
Jann