A rather simple version that (obviously) cannot deal with pre- or postnotes is this
\makeatletter
\DeclareCiteCommand{\myfootcite}
{}
{\usebibmacro{citeindex}%
\usebibmacro{myfootcite}}
{}
{}
\newbibmacro*{myfootcite}{%
\ifciteseen
{\usebibmacro{myfootcite:note}}
{\mkbibfootnote{\usebibmacro{footcite:full}%
\usebibmacro{footcite:save}}}}
\newbibmacro*{myfootcite:note}{\footref{cbx@\csuse{cbx@f@\thefield{entrykey}}}}
\makeatother
We define a new command \myfootcite which does not print post- or pre-notes.
The macro myfootcite it calls just issues \footref on the proper footnote (if the work has been cited before and already has a footnote) or creates a new footnote.
The command is based on the sets of macros defined in verbose-note.
We need in implementation of \footref so we can use this, see Reference different places to the same footnote.
In the MWE below, I used scrextend i.e. the KOMA version to get \footref (if you use any of the KOMA document classes, you won't have to load scrextend manually; the memoir class also provides \footref out of the box; footmisc also has an implementation; see also Footnotes whose texts are identical).
MWE
\documentclass{article}
\usepackage{scrextend}
\usepackage[british]{babel}
\usepackage{csquotes}
\usepackage[style=verbose-note]{biblatex}
\usepackage[colorlinks=true]{hyperref}
\addbibresource{biblatex-examples.bib}
\makeatletter
\DeclareCiteCommand{\myfootcite}
{}
{\usebibmacro{citeindex}%
\usebibmacro{myfootcite}}
{}
{}
\newbibmacro*{myfootcite}{%
\ifciteseen
{\usebibmacro{myfootcite:note}}
{\mkbibfootnote{\usebibmacro{footcite:full}%
\usebibmacro{footcite:save}}}}
\newbibmacro*{myfootcite:note}{\footref{cbx@\csuse{cbx@f@\thefield{entrykey}}}}
\makeatother
\begin{document}
First citation.\myfootcite{cicero}
First citation.\myfootcite{knuth:ct:a}
Lorem\footnote{ipsum} dolor\myfootcite{wilde} sit\footnote{amet} and something\myfootcite{wilde}
Second citation.\myfootcite{cicero}
\printbibliography
\end{document}
