Redefining LoF, LoT formatting without affecting their respective ToC entries?

Question

I am trying to centre my ToC, LoF and LoT headings in small caps. I've managed to change the ToC, LoF and LoT to small caps, but I have 2 problems:

1. The LoF and LoT entries are not able to be centered
2. The ToC entries too adopt the capitalisation and centering formatting.

How can I fix these please?

In short: (a) the LoF and LoT headings need to be centered (like the ToC) in small caps but (b) appear in normal text in the ToC entries.

MWE:

\documentclass[11pt, a4paper, oneside]{memoir}
\usepackage{graphicx}
\usepackage{float}
\usepackage{fontspec}
\setmainfont{TeX Gyre Schola}


\begin{document}
\renewcommand{\printtoctitle}{\centering\Huge\bfseries}
\renewcommand{\contentsname}{\textsc{table\enspace of\enspace contents}}
\renewcommand{\listfigurename}{\hspace*{\fill}\textsc{list of figures}}
\renewcommand{\listtablename}{\hspace*{\fill}\textsc{list of tables}}

    \tableofcontents
    \listoffigures
    \listoftables

\section{Test}

\begin{figure}[H]
   \includegraphics[width=1cm]{c:/temp/Final_images/va_blacked.png}
\end{figure}

\end{document}

Answer 1

Like this?

\documentclass[11pt, a4paper, oneside]{memoir}
\usepackage{graphicx}
\usepackage{float}
\usepackage{fontspec}
\setmainfont{TeX Gyre Schola}


\begin{document}
\renewcommand{\printtoctitle}{\centering\Huge\scshape\bfseries}
\renewcommand{\printloftitle}{\centering\Huge\scshape\bfseries}
\renewcommand{\printlottitle}{\centering\Huge\scshape\bfseries}

\renewcommand{\contentsname}{table of contents}
\renewcommand{\listfigurename}{list of figures}
\renewcommand{\listtablename}{list of tables}

    \tableofcontents
    \listoffigures
    \listoftables

\chapter{chapter title}
\section{section title}

\begin{figure}[p]
  \caption{figure caption}
\end{figure}

\begin{table}[p]
  \caption{table caption}
\end{table}

\end{document}