How do I display a bash prompt when using SSH without a pseudo-terminal?

Question

When the connection is slow, I connect to remote computers using SSH without allocating a pseudo-terminal (e.g. ssh -T user@example.com or ssh user@example.com bash). Although I am able to use the shell, the shell does not display a prompt. Is there a way to make the shell display a prompt (e.g. $ ) when connecting via SSH without a pseudo-terminal?

I could run the bash script below on the remote computer, but I'm wondering if there is something built-in that I can use to get a prompt.

#!/bin/bash
# or #!/bin/sh

PS='$ '

prompt() {
    printf '%s' "$PS"
    read -r line
    # Exit if EOF (Ctrl-d).
    [ "$?" -ne 0 ] && echo && exit
    eval "$line"
}

# Handle Ctrl-c.
trap 'echo && prompt' INT

while :
do
    prompt
done

(Adapted based on: https://tldp.org/LDP/abs/html/intandnonint.html)

This script has the disadvantage that it is not able to handle multi-line inputs.

Answer 1

It obviously does not solve all problems which result from the missing tty but you can do this:

ssh -T user@example.com bash -i