You can use the checkinstall package to build a .deb package that you can install. Once installed use a command line like this as normal user instead of becoming root for the make install part
su -c 'checkintall -D --pkgname=Name --pkgversion=1.2.3 --maintainer="Your Name your@email.address"'.
Edit: If you do not want the package automatically installed edit the /etc/checkinstallrc change to INSTALL=0 at the bottom of the file.