Trike with handle for 3 yo

[Tattiespuds]

I have a 3yo roughly around 35lbs who has really poor stamina. It's a nightmare getting her to walk anywhere and shes getting too heavy to carry.
She goes to nursery in school in the mornings but struggles to walk the 10mins there and back... But older sibling in school means we need to go back and forth again a few hours later.
We did use a buggy but other kids where noticing and asking why she was in a buggy so keen to try something other than a buggy.

So anyway back story covered... I want to get a trike with a handle to encourage exercise while still pushing but unsure which trike would suit.a bigger toddler

Does she have a scuttle bug, scooter etc she can go on to school?

She has a balance bike and a scooter but isn't very good on either... School is down hill and heavy traffic so wouldn't risk it on my reception age child nevermind this one.
I'd prefer something I can keep a hold on for safety. While continuing to encourage building stamina

Perhaps one of the strap things for the scooter so that you can hold on to it (and pull her a bit if necessary)?

I just have a smart trike I picked up off market place, three year old still fits no bother. Eventually can take handle off. Doesn't use it much now but handy on a longer walk.

You also get scooters with a handle I noticed on smyths site.

We have a micro scooter that we bought the wrist strap for, it's Brillfor when ds gets tired and feels secure if that's that's option?

www.micro-scooters.co.uk/mini-micro-3in1-deluxe-push-along-scooter-blue.html