I love the idea of cheap tunnels allowing for active transportation access. There's a network of multipurpose trails in the Cole Harbour area of he HRM that allows people to travel through the area often through scenic greenery between residential backyards. These trails go under thoroughfares in a few different spots like
this,
this,
this and
this. I love these trails and the only real improvement they need is for them to be wider and better maintained as the pavement can get kind of rough in spots.
However, therre are some issues with using bored tunnels for underpasses which include:
a) bored tunnels are deeper than cut and cover so there's a practical limit to how short they can be since there's a minimum distance needed in terms of approaches in order to drop the lower level deep enough. You can't have the approaches too steep if you want to maintain accessibility
b) While advances in bored tunnel technology and practices could potentially lower the cost of tunnel boring compared to current boring costs, cut and cover is already much cheaper. The main reason for the current use of bored tunnel is the reduction in surface disruption. For a short tunnel like an underpass, there's going to be surface disruption for either method since the main place where disruption occurs for a bored tunnel is at the portals (and any stations or ventilation shafts for longer tunnels). So basically all the disruption is going to be right there at the tunnel site.
c) So far I've only been focused on pedestrian/active transportation underpasses, but if we expand that to vehicular travel, we encounter the whole other issue of interchanges since the two roads being grade separated will still need to be able to interact with one another. People on the side street will still need access to the major street so without interchanges which would add to the cost, space requirements and complexity, you'd actually be reducing connectivity.
The takeaway is that trying to make tunnel boring cheaper for short tunnels compared to cut and cover is a very tall order.