Inverness were paired with Hearts on Thursday afternoon while St Johnstone were drawn against Aberdeen but the draw was held in Glasgow, at least an hour's drive from any of the teams involved.
Butcher could not send a player or attend himself without missing training and he felt a 350-mile round trip was excessive to attend a draw.
Butcher, whose team lost to Hearts on penalties at the same stage last season, said: "It's a good one to look forward to. We weren't concerned with who we were playing in the semi-final, it was just great to be in the hat.
"Unfortunately the draw was three o'clock at Hampden, which was impossible for us to train in the morning and get down to.
"Someone in the SPFL should look at where Inverness is and probably have the draw in Perth or somewhere that's more accessible to us.
"But it's nice to play Hearts again. We can park it up and look at it occasionally but we have some football to play between now and then."
Butcher was handed a notice of complaint from the Scottish Football Association on Friday afternoon after being sent to the stand in the 2-1 quarter-final win over Dundee United after a melee which saw United's Nadir Ciftci sent off and later accused of grabbing an assistant referee by the throat.
And he was upset that the shine had come off his team's triumph, which was secured by Ross Draper's 120th-minute winner.
Butcher said: "I'm disappointed that the brawl in the 43rd minute has sort of overshadowed a good performance from us.
"We played some lovely stuff and made a lot of good chances. We left it a bit late but we thoroughly deserved to win the match. That's been taken away by everything else.
"But I thought my players were well controlled and disciplined. We got on with the game and that didn't affect us.
"Even though Dundee United were down to 10 men, as the Motherwell-Aberdeen match showed, sometimes it's very difficult to play against 10 men.
"Even though Dundee United defended very well and were a credit to themselves and their club, we were still confident we could win it and we eventually got there."
Butcher is confident his players will be ready for their Scottish Premiership match with Kilmarnock, who have won two games in a row.
"They are bright and fresh, winning makes tiredness go away a lot quicker," he said. "They have been recuperating very well.
"I look back to when we played Dundee in the last round and had a long journey after a hard-fought match and had to play Hibs on the Saturday.
"Hibs didn't have a game that week and we ended up beating them, so we have history of doing well after cup victories. But Kilmarnock are doing well and Kris Boyd is doing very well, so it will be a different Kilmarnock side to the one we played at Rugby Park earlier in the season."
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