Yes you should consider the GS if offered - if you are being offered an AP it is because the school realises you cannot afford a place there - but you will still be expected to pay some of the fees and associated costs - how will that impact on you as a family? It is not unusual for some children to do better in indie papers than GS and vice versa - the papers are different styles and suit others more than some. And, to be brutally honest, the indies have to have bums on seats to pay, so in some cases, the papers are "easier". If you get a GS offer think about the individual schools and which ones would suit your daughter/your family better - in terms of resources, facilities on offer, general feel, distance from home, cost etc etc as this is at least a 5 year commitment.
I agree with Kenyancowgirl.
The papers at kehs are not easier just in a different style and with additions like the prose.I dont have experience of the papers at ehs.Although they may be easier as I know girls who haven't necessarily got grammar offers or places at kehs who got places at ehs over the last 25 years.
When finance is an issue it is the addiditional costs that are concerning eg at grammars some school trips which relate to courses are funded by the school at independents these are extras.In relation to your financial circumstances at kehs these are considered every year and if there are any fees they can go up and down.If you have complex finances it is not easy to complete the financial assessments.My eldest dd was on full fees at kehs and I had to consider a bursary for the sixth form when my financial circumstances changed due to ill health and serious surgery.Income became a problem but these assessments also take into account capital assets and may disqualify you.Think long and hard and I hope you get your grammar school place then you have a choice.